Convert Fraction to Percent
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Example 1) Convert into a percentage the fraction: \[ {3 \over 5} \]

You will notice that the denominator, which is 5, is a factor of 100.

100 ÷ 5 = 20, so 20 is our multiplier.

So we need to multiply the numerator and denominator by 20 to give us an equivalent fraction with a denominator of 100.

\[ {3 \over 5 } = {3 \times 20 \over 5 \times 20} = {60 \over 100} \]

Because a percentage is simply a fraction with a denominator of 100, we have found our percentage which is 60%.

So our answer is: \[ {3 \over 5} \; = \; 60\% \]

Example 2) Convert into a percentage the fraction: \[ {7 \over 20} \]

The denominator is 20, which is a factor of 100.

100 ÷ 20 = 5, so our multiplier is 5.

This gives us: \[ {7 \over 20} = {7 \times 5 \over 20 \times 5} = {35 \over 100} \]

Because a percentage is simply a fraction with a denominator of 100, we have found our percentage which is 35%.

So the answer is: \[ {7 \over 20} \; = \; 35\% \]

Example 1) Convert into a percentage the fraction: \[{3 \over 5} \]

Step 1)

To convert the fraction to a decimal we divide the numerator by the denominator.

So we calculate 3 ÷ 5 = 0.6

Step 2)

Multiply by 100 to change it to a percentage.

0.6 x 100 = 60%

This means that: \[{3 \over 5} \; = \; 60\% \]

Example 2) Convert into a percentage the fraction: \[{14 \over 9} \]

Step 1)

First, we calculate 14 ÷ 9 = 1.556 (this decimal has been rounded to 3 decimal places)

Step 2)

Next multiply by 100 to change it to a percentage.

1.556 x 100 = 155.6%

Final answer: \[{14 \over 9} \; = \; 155.6\% \; (to \;1dp) \]

Example 3) Convert into a percentage the fraction: \[{7 \over 8} \]

Step 1)

First, we calculate 7 ÷ 8 = 0.875

Step 2)

Next multiply by 100 to change it to a percentage.

0.875 x 100 = 87.5%

Final answer: \[{7 \over 8} \; = \; 87.5\% \]