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Converting Mixed Numbers to Decimals
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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:
- Change the mixed fraction to an improper fraction and then divide.
- Convert the fractional part only then add it to the whole number. In other words, just leave the whole number the same and convert the fraction.
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.
Converting Mixed Numbers to Decimals
- A mixed number is a whole number as well as some parts of a whole as fraction.
- We can convert a mixed number (or mixed fraction) to a decimal.
- Strategies to convert mixed fractions to decimals:
- Change the mixed fraction to an improper fraction and then divide.
- Convert the fractional part only and then add it to the whole number.