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Ratios & Percentages

Ratios & Percentages

At a Glance - Converting Fractions to Decimals

0.32 graph representation

Eight twenty-fifths is equivalent to thirty-two hundredths (i.e., multiply both the numerator and denominator by 4 (that is, 4/4 or 1). You will get 32/100.). Thirty-two hundredths can be written as 0.32, a decimal.

Unfortunately, not all fractions are that easy. Most can't be rewritten with a denominator of 10, or 100, or 1000. We need a more foolproof way of converting every fraction. Lucky for us, there is one: all you have to do is divide the denominator into the numerator!

8/25 long division

Be Careful: always divide the denominator into the numerator and not the other way around. In other words, the numerator always goes inside the division box.

Converting Fractions to Decimals Example 1

2/5 = 0.4

2/ 5 long division


Converting Fractions to Decimals Example 2

2/9 = 0.22

2/9 long division


Converting Fractions to Decimals Example 3

If the fraction you need to convert is a mixed number, you can place the whole number in front of the decimal, or first convert it to an improper fraction.

2 17/20 = 2.85


Converting Fractions to Decimals Exercise 1

Write  as a decimal.


Converting Fractions to Decimals Exercise 2

Write 63/125 as a decimal.


Converting Fractions to Decimals Exercise 3

Write 3/11 as a decimal.


Converting Fractions to Decimals Exercise 4

Write  as a decimal.


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