Converting a Fraction to a Percentage Denominator of 4, 5, or 10

Consider any fraction with a denominator of 4, 5 or 10. Such fractions can be converted to fractions with a denominator of 100. Then it would be easy to write those fractions as percentages as shown below in examples

Rules to convert a fraction into a percentage with 4, 5 or 10 as denominator

If the fraction has a denominator 4, we multiply and spanide the fraction with 25. For example: $frac{3}{4} = frac{(3 imes 25)}{(4 imes 25)} = frac{75}{100}$

If the fraction has a denominator 5, we multiply and spanide the fraction with 20. For example: $frac{2}{5} = frac{(2 imes 20)}{(5 imes 20)} = frac{40}{100}$

If the fraction has a denominator 10, we multiply and spanide the fraction with 10. For example: $frac{7}{10} = frac{(7 imes 10)}{(10 imes 10)} = frac{70}{100}$

The fractions with 100 as denominator are converted to percentages. For example: $frac{75}{100}$ = 75%; $frac{40}{100}$ = 40%; $frac{70}{100}$ = 70%

Write the following fraction as a percentage

$mathbf {frac{1}{4}}$

Solution

Step 1:

The given fraction $frac{1}{4}$ has a denominator 4.

We multiply and spanide the fraction by 25

$frac{1}{4} = frac{(1 imes 25)}{(4 imes 25)} = frac{25}{100}$

Step 2:

Writing this fraction as a percentage

By definition, $frac{25}{100}$ = 25%

Step 3:

So, $frac{1}{4}$ = 25%

Write the following fraction as a percentage

$mathbf{frac{4}{5}}$

Solution

Step 1:

The given fraction $frac{4}{5}$ has a denominator 5.

We multiply and spanide the fraction by 20

$frac{4}{5} = frac{(4 imes 20)}{(5 imes 20)} = frac{80}{100}$

Step 2:

Writing this fraction as a percentage

By definition, $frac{80}{100}$ = 80%

Step 3:

So, $frac{4}{5}$ = 80%

Write the following fraction as a percentage

$mathbf{frac{9}{10}}$

Solution

Step 1:

The given fraction $frac{9}{10}$ has a denominator 10.

We multiply and spanide the fraction by 10

$frac{9}{10} = frac{(9 imes 10)} {(10 imes 10)} = frac{90}{100}$

Step 2:

Writing this fraction as a percentage

By definition, $frac{90}{100}$ = 90%

Step 3:

So, $frac{9}{10}$ = 90%