1:3:4 ratio to percentage

Ratio To Percent Calculator - Online Calculator Ratio Comparison Calculator | iCalculator™ Winning Percentage Calculator So for example, if you have a flush draw on the turn, the odds of completing your draw are 4.1 to 1 (let's call it 4 to 1). In a box of eight donuts two have pink sprinkles. `4 : 1` C. `3 : 1` D. `1 : 4` To recap: 4:1 ratio in a 32oz bottle. This is a demo. We can also work this out in a simpler way by first converting the fraction 3/8 to a decimal. 4 to 1 odds, so 4 + 1 = 5. Percents are ratios. A complete course in arithmetic Fraction to Percent Calculator Color Contrast Ratio Calculator - MSF&W Percentage Calculator In order to keep numbers in direct relation you should first divide or multiply, which depends on your task, them in the ratio. PDF chapter 10-coverage and nondiscrimination Convert each part of the ratio to percentage: (a) 3:1 (b) 2:3:5 (c) 1:4 (d) 1:2:5 - Maths - Comparing Quantities Slope gradient can be expressed in several ways. Step 1: First write the ratio a:b in the form of fraction a/b. Turn it to a Percent: Convert and Write Integer and ... Solution: Given that the angles are in the ratio 1: 2 : 3. In this session students compare ratios by converting between ratios, fractions and percentages. 75% = 0.75. 91 children to 52 adults 3. 2:1 : 64 ounces . Then divide 100 by that number. Summary: The conversion of the following ratios to percentage (a ) 3:1 (b) 2:3:5 (c) 1:4 (d) 1:2:5 are a) Percentage of first part = 75%, Percentage of second part = 25%, b) Percentage of first part = 20%, Percentage of second part = 30%, Percentage of third part = 50%, c) Percentage of first part = 20%, Percentage of second part . A simple ratio like 1:2, 2:4, 3:9, 4:16, 5:15 etc. Example. Organization of the information in a contingency table facilitates analysis and interpretation. So, instead we base the calculation on four ratios: 2:7, 4:4 and 1:29 (2:7 = 2 tickets bought by 7 employees, 4:4= 4 tickets bought by 4 employees and 1:29 = 1 ticket bought by 29 employees). 6.4 5ounces 1 pound 6.4 5ounces 16 ounces 6.4 16 5 6.4 16 3 10 10 5 64 160 64 4 32 160 4 32 2 5 1 4 1 4 1 4 number of gallons of oil in tank capacity of tank 5 50 200 5 1 4 3 2 24 16 24 16 Ratio . To . So 32oz/5 is 6.4oz of chemical needed. Answer link. Two common video aspect ratios are 4:3 (the universal video format of the 20th century), and 16:9 (universal for HD television and European digital television, and default for YouTube videos). The aspect ratio of an element describes the proportional relationship between its width and its height. Invert the fraction and multiply by 12. Example 1: The angles of a triangle are in the ratio 1:2:3. × 100% = 20% The second part of ratio to . Risk Ratio = 5.34/1.27 = 4.2. The ratio represents the number that needs to be multiplied by the denominator in order to yield the numerator. Corresponding pairs of values are in the same ratio so… 1/40 = p/100 p = 100/40 p = 2.5 Corresponding pairs of values are in the same ratio: 2.5/100 = a/1 Solving for the unknown, we find a = 0.025 Thus, the concentration of the. Percent = Percent/100. = 4*100. Example. Facebook. Here are a couple of examples where percent or ratio can describe the same thing. Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%. fractional odds of 3/1 = (1 / ((3/1) + 1)) * 100 = 25%. 250%. e.g. The latest accessibility guidelines (e.g., WCAG 2.0 1.4.3) require that text (and images of text) provide adequate contrast for people who have visual impairments.Contrast is measured using a formula that gives a ratio ranging from 1:1 (no contrast, e.g., black text on a black background) to 21:1 (maximum contrast, e.g., black text on a white background). About Ratio to Percentage Calculator . The way that I do this is that I simply add the ratio numbers together. The question seems to me be missing some details. ( Lesson 18, Question 6 .) So 32oz/5 is 6.4oz of chemical needed. Winning Percentage = (2 × 16 + 4) / (2 × 25) × 100 = .72 × 100 = 72%. Step Three: Rewrite as a ratio. The formulas of each of the calculations used in our percentage calculator can be seen by clicking the question mark, ?, next to each calculation. Step 3: Finally, the payout ratio formula can be derived by dividing the total dividends paid to the shareholders (step 2) by the company's net income (step 1), as shown below. To : 128 ounces . In this case, ½. 4+1 = 5. How to turn a ratio in to a percentage. Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values. Use the fact that 1 pound 16 ounces. Try to express how many percent of the donuts in the box that have pink sprinkles using proportions. This is clearer if the first number is larger than the second, i.e. Ex: 5/2 = 2.5. Answer. To get a better understanding of this formula, let's . 2:1 : 64 ounces . Change the Given Ratio to Fraction Form = 8/2. 128 ounces . : We will follow the following steps for converting a ratio to a percentage. Convert the fraction to a decimal number. = 400%. Decimal - 1 divided by the decimal odds, multiplied by 100 to give a percentage e.g. Ratio and percentage questions. 1000%. Any time we have a:b:c, we can interpret that as: The fraction of the total which a is, is The fraction of the total which b is, is The fraction of the total which c is, is ----- We have A:T:B = 1:3:4 So the fraction of the total which Andy gets is or .So is the FRACTION of the total which Andy gets. How to Calculate Ratios. 48 ÷ 6 = 8 Each part in the ratio is worth $8. Example 1: The angles of a triangle are in the ratio 1:2:3. Following is how to convert percentage to ratio. 2 out of 5 students got an A. Give groups of students drink concentrate, measuring devices, bottles/jugs and cups. There is a 50 percent chance of rain. 1.5 ÷ 0.5 = 3. are very easy to visualise and comparing ratios when they are low numbers can be a fairly straight forward task using mental arithmetic, in fact, the brain probably calculates and compares these simple ratios and forms a conclusion before you have even started to write down the manual formula . Therefore, a ratio of 8/6 is an equivalent ratio of 4/3: in that particular ratio calculation, you should just multiply 4, as well as 3, by 2. George C. May 23, 2015. ; Fraction - 1 divided by (the fractional odds plus 1), multiplied by 100 to give a percentage. (a) Given ratio is 3 ∶ 1. Ask the students to convert the ratios to fractions or . 3 1. Session 2. 0.75 = 3 4. Ratio and percentage questions. When we calculate the share of the lottery fund based on the ratio or employees to tickets bought by each team, then the result is that Team 1 receive . a ratio of 3:1 can be written as (3 1) in percentage terms. For this equation, the number of games is the sum of win, loss, and tie results on the team's record. For example, a slope that has a rise of 5 feet for every 100 feet of run would have a slope ratio of 1 in 20. Care by Design offers five (18:1, 8:1, 4:1, 2:1, and 1:1), while Pure Ratios cut down to . To : 128 ounces . Looking at the ratio 3:1:2, we have: 3 + 1 + 2 = 6 So, six parts in total. Whatever ratio the percent has to 100 percent, that is the ratio being named. Enter numerals only in the text field. Find the measures of each angle. Step Two: Convert from decimal form to fraction. 6:1 : 21.4 ounces . `2 : 1` B. 0.5 ÷ 0.5 = 1. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. To get your simplified ratio, simply divide both numbers by 4: Your new ratio is 5 g flour/ 2 g sugar. 0.000027 = 2.7x10-5. 2 feet to 28 inches 5. Perform Division between the fraction and change it to a decimal value i.e 8/2 = 4. For example, 1:3 means 1 unit to 3 units, and the units are the same size. You can use ratio instead of percentage in many situations. Turn the ratio into a percentage (optional). 1/8" = 1'-0". Assuming that there is no change in its density, then what is the ratio of change in resistance of wire to in initial resistance of wire A. Click on each like term. Step 2: Multiply the fraction a/b by 100 to convert in terms of percentage. 100 / 5 = 20%. mixture can be expressed as either: 2.5% w/w. How to convert fraction to percent. So for example: a dilution ratio of 4:1 would be 4+1=5 then I take the total ounces, which in this case is 32 and divide that by 5. Compute the ratio of 6.4 ounces to 1 pound. 1/3 = 0.33333333333333. 20 x 12 = Scale Factor 240. Dividing 18/24 by 6, you get 3/4, or a 3:4 aspect ratio. 8. Payout Ratio = Total Dividends / Net Income. Each slope profile section should be treated as a separate management and restoration site unit. You can put this solution on YOUR website! Step 2: Multiply 5/4 by 100. with the ratio 2:1, 2 can contain 1, 2 times. If the Ratio is 8:2, What is it in Percentage Form? The ratio 3 : 8 is already simplified. Two different ways to convert 1/3 to a percentage. (i.e) (5/4)×100 = 125. The procedure to use the ratio to percent calculator is as follows: Step 1: Enter the ratio a : b in the input field. Solution: Given that the angles are in the ratio 1: 2 : 3. Click here to see ALL problems on Percentage-and-ratio-word-problems Question 640483 : by what percent does 3/4 exceed 1/3? 1. Step 3: Finally, the ratio to percent form will be displayed in the output field. For example, to simplify the ratio 12:16, you find that 12 and 16 have a greatest common factor 4. However, some paint manufactures add hardener second, and thinner/reducer last. Converting decimal numbers, fractions, proportions and ratios to percentages It's very simple to write a fraction (a proportion or a ratio) or a decimal number as a percentage. Total part is 3 + 1 = 4. A fraction IS a ratio. Solution First, express both quantities in the same unit of measure. (3 1) × 100 = 300%. AMOUNT OF CONCENTRATE . Because 1000 is ten times 100. The share 1 is 1/4 of the total. 1:1 . 2.75 to 1 c. 3.25 to 1 d. 4.75 to 1 13. A thick wire is stretched so that its length become two times. 4 yards to 15 feet 6. 3 4 = 3: 4. Slope determination formulas Color Contrast Ratio Calculator. For people younger than 65, that ratio is closer to 1 in 1,400. Step 4: Next, determine the number of outstanding shares available. To convert an engineering drawing scale to a scale factor: Select the desired scale. The calculator provided automatically . 0.5 ÷ 0.5 = 1. From baking recipes to sports, these concepts wiggle their way into our lives on a daily basis. ; American: Positive odds - 100 divided by (the american odds plus 100), multiplied by 100 to give a percentage e.g . 3.75 to 1 b. a. To : 128 ounces . Multiply by 100 to get percent value: 0.25 × 100 = 25% 1. 1" = 20'. Once we have the answer to that division, we can multiply the answer by 100 to make . For example, to convert a percent of 70, 70/100 = 7/10 or 7:10. Only enter positive, integers into the least Ratio Simplifier . The factors of 3 are 1, 3; The factors of 8 are: 1, 2, 4, 8; The greatest common factor of 3 and 8 is 1; Divide both terms by 1; 3 ÷ 1 = 3; 8 ÷ 1 = 8; Rewrite the ratio using the results. Total part is 2 + 3 + 5 = 10. Step 1: Rewrite as fraction 30: 20 = 30 20 = 1.50 Step 2: Multiply the fraction by 100 1.50 ⋅ 100 % = 150 %. Objectives: To evaluate the usefulness of measuring the free/total prostate-specific antigen (PSA) ratio (%fPSA) in men with initial PSA levels of 4.1 to 10.0 ng/mL as a predictor of the future risk of developing prostate cancer. Add this calculator to your site. all the ratios can be hard to understand. The winning percentage would be determined as follows: Number of Wins = Total Games Played - Number of Ties - Number of Losses = 25 - 4 - 5 = 16. decimal odds of 2 = (1/2) * 100 = 50%. Therefore, the first part of ratio to percentage = 2 10. Step 1: The ratio 5:4 is written as 5/4. If you have a 20″x30″ painting, or 20/30 = 10, which equals 2/3, this gives you have a 2:3 aspect ratio. Ratios, rates, and percentages are some of the most useful math concepts in real life (and what is REAL life anyway, huh?). The heightened risk for older people has dominated life for many, partly as friends and family try to protect them. P is the percentage, V 1 is the first value that the percentage will modify, and V 2 is the result of the percentage operating on V 1. You can conclude that if the greatest common factor is 1 then the ratio is already . Class 7 Maths NCERT Solutions Chapter 8 Exercise 8.3 Question 2. The calculator provided automatically . When a mixing ratio is given as a percentage, convert the percentage to a fraction, then think of the fraction as parts solvent/parts paint. Find the measures of each angle. 6:1 : 21.4 ounces . Ratio Understanding ratio is very closely related to fractions. Convert the following ratios to percentages. There appears to be a diagnostic gender bias, meaning that girls who meet criteria for ASD are at disproportionate risk of not receiving a clinical diagnosis. 4+1 = 5. Media Lesson Convert Percentages to Fractions (Duration 5:21) View the video lesson, take notes and complete the problems below. Third, compare the plan's ratio percentage with the safe harbor Earned $94 in 8 . Because 250 is two and a half times 100. Two and a half times. The fraction bar between the top number (numerator) and the bottom number (denominator) means "divided by." So converting a fraction such as 1/4 to a decimal means you need to solve the math: 1 divided by 4. AMOUNT OF CONCENTRATE . For example, in order to get a decimal fraction, 3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25: Other method is to do long division of 3 divided by 4. RATIO . Free online Calculator that shows all the work for simplifying 2, 3 or more ratios! Example 1: Scientific Notation for Small Numbers. 270000 = 2.7x10 5. In the spades example, given that the probability of drawing a spade is 1/4, take 1/(4-1) = 1:3 odds or odds = 0.33. 18 males to 45 females 2. When you encounter a ratio within a formula, the . Step One: Convert the percentage to a decimal. The amount is $48 and the total number of parts is 6. Slope Ratio: 3:1 or 3 to 1 Percent Slope: 33% Degree Slope: 18.4o Inches per Foot: 4 3 1 Slope . Step 2: Divide the given amount by the total number of parts in the ratio. Example 2: Scientific Notation for Large Numbers. Formulas of calculations. Ask each group to make a different ratio of drink, for example, 2:3, 2:4, 3:2, 2:1, 3:1, 2:8. Now for example, if you want to make an 8″x10″ print from a 20″x30″ painting, you will realize quickly that you can't do it. × 100% = 25% (b) Given ration is 2 ∶ 3 ∶ 5. Steps to Convert a Percent to a Ratio. Write each percent as a fraction. 1 gross profit ratio = 25% 2 net profit/sales =20% 3 stock turnover ratio = 10 4 net profit/ capital =1/5 5 capital to total liabilities =1/2 6 fixed assets/capital = 5/4 7 fixed assets/total current assets = 5/7 8 fixed assets =2,00,000 9 closing stock =20,000 perpare a trading and p&l a/c and blance sheet RATIO . The cumulative incidence is an estimate of risk. To convert a fraction just start by dividing the numerator by the denominator and then multiply the result by 100%. 8/1 x 12 = Scale Factor 96. P × V 1 = V 2. Therefore, the first part of ratio to percentage = 3 4. Type up to 15 numbers in the text boxes below then hit 'calculate'. Example: Simplify the ratio 3 : 8. In such a case, you can calculate the percentage in the following way: winning percentage = (wins + 0.5 * ties) / games. Statistical Significance If an odds ratio (OR) is 1, it means there is no association between the exposure and outcome. What will be the percentage of each angle? Answer by Alan3354(67635) ( Show Source ): You can conclude that if the greatest common factor is 1 then the ratio is already . Formula used to solve percentage problems that relates two ratios where one of the ratios is a part or portion per 100 and the other ratio is a part or portion per a whole. 1:1 . Write the percent as a ratio with the denominator 100. Type 230 words in 4 minutes. we can also assume two numbers which have a 3:1 ratio for example, 6 and 2. There is a 1 in 2 chance of rain. Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values. To : 128 ounces . Percent means hundredths or per hundred and is written with the symbol, %. If you'd like to turn the ratio into a percentage, you just have to complete the following steps: Divide the first number by the second number. The work below shows how you can use the prime method to calculate the GCF of your numbers. Figure 1. Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage: 0.33333333333333 x 100 = 33.3333%. 128 ounces : 4:1 . Upon completing Problem 1 at the end of this Lesson, the student will have a firm foundation in the language of percent. The ratio 3 : 8 is already simplified. For example, " slopes are expressed as ratios such as 4 : 1 . For instance: in the ratio 1:3 , the total number of shares is 4(=1+3). Thus, the fertilizer ratio that best fits this recommendation is 3-1-1. Ratios use the symbol " : " to separate the quantities being compared. WATER . The way that I do this is that I simply add the ratio numbers together. And there you have it! 32 ounces . Incidental appendectomies were performed in a total of 131 patients, and seven of these developed post-operative wound infections, so the cumulative incidence was 7 . Where: A% of B is C as in: 10% of 90 is 9 where A=10, B=90, C=9 You can also determine fertilizer ratios from fertilizer grades by dividing the percentage of nitrogen, phosphate, and potash by the lowest percentage of the three nutrients. You may also want to try our Aspect Ratio Calculator. We will multiply each . To convert an architectural drawing scale to a scale factor: Select the desired scale. 1. Step 3: Finally, add the percentage symbol (%) to the resultant value. 1. It is usually assumed that a tie is worth the same as 1/2 of a win. So for example: a dilution ratio of 4:1 would be 4+1=5 then I take the total ounces, which in this case is 32 and divide that by 5. Methods: Between 1989 and 2001, 201 subjects with an initial PSA level of 4.1 to 10.0 ng/mL, who had free PSA measured at initial screening using frozen serum and . Ten times. 128 ounces : 4:1 . What will be the percentage of each angle? 6 2 ×100 = 300%. Author: Steve Created Date: 8/27/2014 9:49:23 AM . Income Tax regulations Section 1.401(b)-4(c)(4)(iv), to determine the safe harbor and unsafe harbor percentages. The total part will be 1 + 2 + 3 = 6 With ratio comparisons are made between equal sized parts/units. Step 3: Multiply each number in the ratio by the value of one part. 40 percent of the students got an A. 75% A percent is a value out of 100 Change the fraction 3/4 to an equivalent fraction with the denominator equal to 100 3/4 xx25/25 = 75/100 This fraction represents a percent. (a) 3:4 (b) 2:3 . To recap: 4:1 ratio in a 32oz bottle. Page 3 of 27 Year 6 Fractions, Decimals and Percentages Practice Test 25 KS2 SATs uestions and ark Scheme: Fractions, Decimals and Percentages Third Space Learning 7. Multiply the feet by 12. Since a ratio can be stated as a fraction (3:4 = 3/4), you simplify ratios the same way you simplify fractions, which is to find the greatest common factor (GCF) of the two numbers, and then divide both sides by the GCF. P is the percentage, V 1 is the first value that the percentage will modify, and V 2 is the result of the percentage operating on V 1. The pixel aspect calculator makes it extremely easy to change any "W:H" format with custom a width or height. Please note that in this calculator ratio a:b means a out of b. Simply multiply the result with 100 and place a % symbol at the end. Example: Convert the ratio 2:4 into a percentage: 2 : 4 can be written as 2 / 4 = 0.5; Multiplied 0.5 by 100, 0.5 × 100 = 50, so the percentage of ratio 2 : 4 . Of children meeting criteria for ASD, the true male-to-female ratio is not 4:1, as is often assumed; rather, it is closer to 3:1. Example What would be a company's "times interest earned ratio" if interest paid on loans amount to P9,000 and its net income after income tax is P99,000. It is also possible to have ratios that have more than two terms. CBD oil made from hemp, which has less than 0.3 percent THC . Hence, the ratio of the speed of cycle to the speed of scooter =15 30 =1 2 1 2 is written as 1:2 (b) Ratio of 5 m to 10 km = 5 10000 = 1 2000 1 2000 is written as 1:2000 [∵1 km=1000 m] (c) Ratio of 50 paise to ₹ 5 = 50 500 = 1 10 1 10 Is written as 1:10 [∵1 ₹ =100 paise] 2. 2. Write each of the following ratios in lowest terms in 3 different ways. 128 ounces . Percent Fraction 45% 6% 136% 64.2% 3 3 4 % The Ratio to Percentage Calculator is used to convert ratio to percentage. 32oz divided by 5 = 6.4oz Convert a Percent to a Fraction 1. Since a fraction is a ratio, it is WRONG to say it is irrational . When calculating Math formula (and Physics, Engineering, Chemistry and other formulas for that matter), we will often encounter ratios and need to calculate the value of that ratio. You may also be interested in our League Table Creator or/and Pythagorean Expectation Calculator. Calculate the Aspect Ratio (ARC) here by entering your in pixel or ratio . Change the image aspect ratio via this Ratio Calculator . 1 pound to 12 ounces 4. The total part will be 1 + 2 + 3 = 6 So, if the 95% confidence interval for an OR includes 1, it means the results are not statistically significant. The slope determination formulas (Figure 1) and common slope gradients table (Figure 2) illustrate the three commonly used notations (ratio, percent and angle). Add the two numbers in the ratio together. 32 ounces . To . 75/100 = 75% However, some denominators are not factors of 10,100,1000 and so on. Percentage Formula. Whilst ratio can be 2 minutes to 36 seconds Write each of the following rates in lowest terms and give the unit rate. We talk about the ratio of cordial to water in many different ways: For every cup of cordial there are 3 cups of water. Step 2: Now click the button "Solve" to get the percent. × 100% = 75% The second part of ratio to percentage = 1 4. To do that, we simply divide the numerator by the denominator: 3/8 = 0.375. In fraction terms, the 1000 mls of mixed cordial is 250/1000 (1/4) cordial and 750/1000 (3/4) water. This means that for every 4 units (feet or metres) of horizontal distance there is a 1 -unit (foot or metre) vertical change either up or down." P × V 1 = V 2. See our decimal to fraction calculator to learn more. WATER . Example: Simplify the ratio 3 : 8. Solution: Given Ratio = 8:2. 32oz divided by 5 = 6.4oz The factors of 3 are 1, 3; The factors of 8 are: 1, 2, 4, 8; The greatest common factor of 3 and 8 is 1; Divide both terms by 1; 3 ÷ 1 = 3; 8 ÷ 1 = 8; Rewrite the ratio using the results. Simplify the fraction if possible. The Ratio Convertor is a simple ratio calculator that allows you to convert a ratio to a fraction, percentage, decimal amount, physical amount or simplified ratio. Percentage Formula. A mixing ratio given as 4:2:1 normally means 4 parts of base product, 2 parts thinner/reducer, and 1 part hardener. Parts is 6 < /a > 3 1 ), multiplied by 100 to convert to! //Visualfractions.Com/Calculator/Fraction-As-Percentage/What-Is-1-3-As-A-Percentage/ '' > How to convert fraction to percent ) < /a > ratio Comparison Calculator | Math Solutions. 1 then the ratio 2:1, and thinner/reducer last to that Division, we simply Divide the numerator the... Ratio by the total number of outstanding shares available 100 = 50 % steps for converting a ratio, is! //Www.Bellevuefineart.Com/Aspect-Ratio-Calculator/ '' > What is 3/8 as a ratio within a formula let... Be interested in our League Table Creator or/and Pythagorean Expectation Calculator: ''... Ratio and percentage questions shares is 4 ( =1+3 ) which means that 1 % is 1/100 which... The 95 % confidence interval for an or includes 1, 2 times symbol at the.. + 1 ), while Pure ratios cut down to as 5/4 //www.calculatorsoup.com/calculators/math/fraction-to-percent-calculator.php '' > is! More ) numbers Calculator units, and the units are the same.! 2/3, this gives you have a 2:3 Aspect ratio via this ratio Calculator fractional odds of 2 (... Given ration is 2 ∶ 3 ∶ 5 a box of eight donuts two have pink using... = 3 3 ( or more ) numbers Calculator Duration 5:21 ) View the video Lesson, notes! For example, to simplify the ratio 12:16, you find that 12 16... Math Easy Solutions < /a > Session 2 32oz bottle //socratic.org/questions/how-do-you-write-3-4-as-a-percent '' > to!: Mixing ratio - Sherwin-Williams Automotive Finishes... < /a > 1/3 =.! 4.75 to 1 c. 3.25 to 1 odds, so 4 + 1 ) × 100 % = 25 (. And the total number of parts in the ratio 1: the angles of a are. Via this ratio Calculator shows all work... < /a > percentage formula can be written in different,! The heightened risk for older people has dominated life for many, as... 8:1, 4:1, 2:1, and the total number of parts in the 2:1... Are expressed as either: 2.5 % w/w simpler way by first converting the a/b! 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