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Converting Decimals to Mixed Numbers
To write decimals, which are greater than 1, as mixed numbers:
1) Keep the whole number part as same.
2) Write the decimal part as a fraction.
3) Combine the whole number part and fractional part to write the mixed number.
For example:
Consider the decimal 2.35.
It can be written in the place value chart as:
Ones | . | Tenths | Hundredths |
2 | . | 3 | 5 |
The whole number part is 2.
The decimal part is 35 hundredths.
Write 35 hundredths as a fraction.
35 hundredths = |
|
Now, simplify the fraction.
|
= |
|
= |
|
Now, write the mixed number:
2 |
|
So, the decimal 2.35 can be written as the mixed number 2
7 20
.