# What is 0.3 repeating as a Fraction?

Updated on January 19, 2024

Answer: 0.3 repeating (or 0.333…) as a fraction is 1/3.

## Converting Repeating Decimals to Fractions

Repeating decimals are decimals in which one or more digits repeat infinitely. To convert the repeating decimal 0.333… to a fraction, you can use algebraic methods, setting x = 0.333…, then multiplying by 10 to get 10x = 3.333…, subtracting the original equation from this, and solving for x to get x = 1/3. This conversion is crucial in mathematics for simplifying calculations, performing algebraic operations, and understanding the properties of numbers.

## FAQ on Converting Repeating Decimals to Fractions

### What is 0.9 repeating as a fraction?

0.9 repeating is 1.

### What is 0.6 repeating as a fraction?

0.6 repeating is 2/3.

### What is 0.12 repeating as a fraction?

0.12 repeating is 1/8.