Question

Big Bun wrestled in 25 matches and won 18. This is represented by the fraction 18/25. 25 is the total number of matches he wrestled in, or the whole. 18 is the number of matches he won, or the part. We're trying to find the percent that's equivalent to this fraction. A percent is a part-to-whole ratio where the whole is 100. So, we can set up an equivalent fraction with a denominator of 100. In this problem, it's easy to use this method because 25 is a factor of 100. We can multiply 25 by 4 to get 100, and we can do the same thing to the numerator to find the percent. But if the denominator is not a factor of 100, you can first convert your fraction to a decimal. Then, you can use the decimal to find the percent. If Big Bun had won 18 out of 24 matches, we could first convert the fraction 18/24 to a decimal by dividing the numerator, the top number, by the denominator, the bottom number. 18 ÷ 24 = .75, or 75 hundredths. We could then multiply this decimal by 100 to find the part of out of 100, 75?

Answer 1

To convert a fraction to a percent when the denominator is a factor of 100, multiply both the numerator and the denominator by the same number to make the denominator 100. In Big Bun's case, the fraction 18/25 is the same as 72% because 18x4=72 and 25x4=100.

Step-by-step explanation:

Big Bun's wrestling win ratio is represented by the fraction 18/25, where 18 is the part (number of wins) and 25 is the whole (total matches). In percentage terms, this fraction represents a part-to-whole ratio where the whole is 100.

To find the percent, if the denominator is a factor of 100 like in this case (25x4=100), multiply the denominator by 4 to make it 100. Then, do the same thing to the numerator (18x4), which will give you the equivalent percentage. If the denominator is not a factor of 100, convert the fraction to a decimal first by dividing the numerator by the denominator, and then multiply the decimal by 100 to find the percentage.

So, in Big Bun's case, the equivalent percent for the fraction 18/25 is 72% (because 18x4=72).

Learn more about Converting Fractions to Percents