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How to Convert Fractions

Converting Fractions

A fraction can be converted to a decimal or a percentage.



1/5 (one-fifth) can be converted to 0.2 (a decimal) or 20% (a percentage).

How to Convert a Fraction to a Decimal

A fraction can be converted to a decimal.



An Example Question

What is ¼ as a decimal?
Divide the top number of the fraction by the bottom number of the fraction.

Step 1
Divide the top number (called the numerator) of the fraction (1) by the bottom number (called the denominator) of the fraction (4).


1 ÷ 4 = 0.25
¼ converted to a decimal is 0.25.

How to Convert a Fraction to a Percentage

A fraction can be converted to a percentage.



An Example Question

What is ¼ as a percentage?
Divide the top number of the fraction by the bottom number of the fraction and then multiply by 100%.

Step 1
Divide the top number (called the numerator) of the fraction (1) by the bottom number (called the denominator) of the fraction (4).


1 ÷ 4 = 0.25
Step 2
Multiply the answer (0.25) by 100%.
0.25 × 100% = 25%
Don't forget: a percentage has a % ("percent") sign after it.

¼ converted to a percentage is 25%.

A Real Example of How to Convert Fractions

The slider below gives another example of converting fractions to decimals and percentages.

Quick Test
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Here's a second test on converting fractions.
Here's a third test on converting fractions.
Note

Fractions, Decimals and Percentages

A fraction is a part of a whole.

Decimals and percentages also represent parts of a whole.

This is why fractions, decimals and percentages can be converted to each other.

What Is a Fraction?

A fraction is a part of a whole number.

Fractions consist of a numerator and a denominator.



The denominator tells you how many equal parts the whole is divided into, and the numerator tells you how many of these parts there are.

What Is a Percentage?

A percentage expresses a part of a whole number as parts out of 100.

"Per cent" means "per 100" or "out of 100".

A percentage is shown by the symbol %.