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

Question

What is 215 over 645 expressed as a percentage?

00:05 Let's find what percentage 215 is of 645.

00:11 First, we'll use the percentage formula.

00:15 Divide 215 by 645, then multiply by 100.

00:22 Look for factors of 645. We have 215 times 3.

00:28 Simplify the fraction if you can.

00:34 Great job! That's how we solve it.

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

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