## 5/9 as a decimal is 0.5

## Want to practice?

In the fraction **5/9** , the number **5** is

- Numerator
- Denominator
- Decimal
- Fraction

- Numerator

In the fraction **5/9** , the number **9** is

- Numerator
- Denominator
- Decimal
- Fraction

- Denominator

What is the equivalent fraction to **5/9**?

- 5/18
- 10/18
- 10/27
- 5/27

- 10/18

What is the equivalent fraction to **5/9**?

- 15/18
- 10/27
- 20/36
- 20/27

- 20/36

### Solution

A repeating decimal fraction is a fraction that, when divided, gives a decimal in which a digit or a sequence of digits repeats itself in a pattern.

The digits that are repeated are after the decimal point. We use the long division method to find if a fraction gives a repeating decimal as an answer.

The long division is done with the numerator as the dividend and the denominator as the divisor. Here the numerator 5 is the dividend and the denominator 9 is the divisor.

Note that we add a 0 to 5 to make it divisible by 9.

The number 50 is divisible by 9 five times giving 45. We get 5 as the remainder in the first step.

In the second step, we have 50 again, which is divisible 5 times by 9 giving 5 as a reminder again.

We can conclude that the same remainder will be the result of further division.

Hence here the digit 5 in the quotient is the repeating number and is infinite.

**The answer to the fraction** **is 0.555……**

The repeating decimals can be written in a terminating form by placing a bar over the digit that is repeated

## Remember

Here are some common terms you should be familiar with.

- In the fraction
, the number 5 is the dividend ( our numerator)- The number 9 is our divisor (
our denominator).

## Find More Fractions to Decimals

### What do you think about this article? **Share your opinion with us**

**free**account to see answers!