How do you change whole number fractions to percents?

Answer 1

By "whole number fractions" I presume you mean a whole number and a fraction - such as 37/8, or 41/4. To convert such numbers to percentages we first need to convert them to 'top-heavy' fractions. We do this by multiplying the integer by the denominator (the number below the line) of the fraction and adding the numerator (the number above the line) of the fraction to the result. 37/8 becomes . 24 + 7/8 or 31/8 41/4 becomes 16 + 1/4 or 17/4 What happens next depends on what we have been asked to find. If the question is something like "What percentage of 25 is 37/8?" we need to multiply the number which is 100% (in this case 25) by the denominator - 25 x 8 = 200 * Now we can divide the new numerator of the top-heavy fraction by the product we obtained, and multiply the result of that by 100. * 31 ÷ 200 = 0.155 ..... 0.155 x 100 = 15.5 * So now we know that 37/8 is equal to 15.5% of 25

However, if the question is something like "What percentage is 41/4 if 1 = 100% * We divide the new numerator by the denominator and multiply the result by 100 * 17 ÷ 4 = 4.25 ..... 4.25 x 100 = 425 * So now we know that 41/4 is 425% of 1