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

Question

Convert the fraction into a percentage:

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

00:00 Convert the following fraction to a percentage

00:05 A fraction with a denominator equal to 100 is equal to the numerator in percentage form(X)

00:17 Determine what we must multiply the denominator by in order to obtain a denominator equal to 100

00:27 Multiply both the numerator and denominator by 4 to obtain a denominator equal to 100

00:45 Apply this formula to our exercise

00:51 This is the solution

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

$25\times4=100$

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

$\frac{22\times4}{25\times4}=\frac{88}{100}$

Now we use the formula

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

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

88%