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

Question

Convert the fraction into a percentage:

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

Video Solution

Solution Steps

00:00 Convert fraction to percentage
00:05 A fraction with a denominator equal to 100 equals the numerator in percentage (X)
00:17 We want to find what to multiply by to get a denominator of 100
00:27 We'll multiply numerator and denominator by 4 to get a denominator equal to 100
00:45 We'll use this formula in our exercise
00:51 And this is the solution to the question

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\%

Answer

88%