Convert Fraction to Percentage: Solving 22/25 Step-by-Step

Convert the fraction into a percentage:

2225=? \frac{22}{25}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's change the fraction into a percentage.
00:11 When the bottom number of a fraction is one hundred, the top number is the percentage. Easy, right?
00:23 Now, let's find out what to multiply the bottom number by to make it one hundred.
00:33 Multiply both the top and bottom by four, so the bottom number becomes one hundred.
00:51 Now apply this trick to solve our problem.
00:57 And there you have it! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert the fraction into a percentage:

2225=? \frac{22}{25}=\text{?}

2

Step-by-step solution

To convert a fraction to a percentage, the denominator must be converted to 100

25×4=100 25\times4=100

We also multiply the numerator by the same number, that is, 4:

22×425×4=88100 \frac{22\times4}{25\times4}=\frac{88}{100}

Now we use the formula

x100=x% \frac{x}{100}=x\%

88100=88% \frac{88}{100}=88\%

3

Final Answer

88%

Practice Quiz

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Convert the fraction into a percentage:

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

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