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

What is 215 over 645 expressed as a percentage?

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Step-by-step video solution

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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.

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1

Understand the problem

What is 215 over 645 expressed as a percentage?

2

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 0.3333…0.3333\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}\%.

3

Final Answer

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

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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