Converting Mixed Numbers to Decimals

If you can convert a fraction to a decimal, you can easily convert a mixed number, also called a mixed fraction, to a decimal.

A mixed number is a whole number as well as some parts of a whole as fraction.

When you convert a mixed fraction to a decimal, there are two strategies:

Let's take a look at some examples.

Example 1

First change the mixed fraction to an improper fraction.

Now divide 7 into 30.

Since 30 is greater than 7, the quotient will be a whole number and a decimal.

Round the decimal to the nearest hundredth.

Example 2

First change the mixed fraction to an improper fraction.

Now divide 5 into 63.

Example 3

Now add 0.4 to 3 .

Example 4

First convert the fractional part by dividing 4 into 1.

1 ÷ 4 = 0.25

Now add 0.25 to 6.