Converting Decimals to Fractions
We know that decimals are fractions that have powers of ten as their denominators.
To write a decimal as a fraction, we use place values.
For example:
Consider the decimal 0.15.
It can be written in the place value chart as follows:
| Ones | . | Tenths | Hundredths |
| 0 | . | 1 | 5 |
We know that 1 tenth is same as 10 hundredths.
So, 0.15 is 15 hundredths.
Now, write 15 hundredths as a fraction.
| 15 hundredths = |
|
Now, simplify the fraction.
|
= |
|
= |
|
So, the decimal 0.15 can be written as the fraction
3 20
.
