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

Question

What is 215 over 645 expressed as a percentage?

Video Solution

Solution Steps

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.

Step-by-Step Solution

To express 215645\frac{215}{645} as a percentage, we follow these steps:

  • Step 1: Divide the numerator by the denominator. 215645=0.3333333333 \frac{215}{645} = 0.3333333333\ldots The result is an approximation of the repeating decimal 0.33330.3333\ldots.
  • Step 2: Multiply the decimal result from Step 1 by 100 to convert it to a percentage. 0.3333×100=33.3333 0.3333\ldots \times 100 = 33.3333\ldots As a percentage, this can be expressed as 3313%33\frac{1}{3}\%.

Therefore, the percentage representation of 215645\frac{215}{645} is 3313%33\frac{1}{3}\%.

Answer

3313% 33\frac{1}{3}\%