# Converting repeating decimals to fractions

### Converting repeating decimals to fractions

A repeating decimal keeps repeating itself endlessly. Yet, no worries, you don't need to have unlimited paper to write it down. We can convert it into a fraction for a clearer presentation. Let's learn how in this session.

#### Lessons

• Introduction
How to convert repreating decimals to fractions?
a)
The entire decimal repeats
$\bullet$ E.g. $0.\overline1$, $0.\overline3$, $7.\overline2$

b)
Only a portion of the decimal repeats
$\bullet$ E.g. $0.0\overline1$, $4.1\overline6$, $4.00\overline3\overline6$

• 1.
Converting repeating decimals to fractions
a)
0.$\overline{38}$

b)
3.9$\overline{6}$

c)
-1.25$\overline{60}$