Convert Fraction to Percentage: Express 215/645 as a Percentage

Question

What is 215 over 645 expressed as a percentage?

00:00 Calculate 215 as a percentage of 645

00:05 Apply the formula for calculating percentages

00:10 Divide one number by the other and then proceed to multiply by 100

00:13 Break down 645 into factors of 215 and 3

00:23 Reduce wherever possible

00:29 This is the solution

To express $\frac{215}{645}$ as a percentage, we follow these steps:

Step 1: Divide the numerator by the denominator. $\frac{215}{645} = 0.3333333333\ldots$ The result is an approximation of the repeating decimal $0.3333\ldots$ .
Step 2: Multiply the decimal result from Step 1 by 100 to convert it to a percentage. $0.3333\ldots \times 100 = 33.3333\ldots$ As a percentage, this can be expressed as $33\frac{1}{3}\%$ .

Therefore, the percentage representation of $\frac{215}{645}$ is $33\frac{1}{3}\%$ .

$33\frac{1}{3}\%$