Learn What Is 6 Repeating As A Fraction

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# What is 0.6 repeating as a Fraction?

A fraction is a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.

## Answer: 0.6 repeating as a fraction is equal to 2/3.

Let's check.

**Explanation:**

6 repeating means that the number 6 is recurring in this situation. 0.6666666.......

let us see how to convert repeating decimals to a fraction.

Let us assume x = 0.66666.... --- (1)

Now, multiplying equation (1) by 10, we have

10x = 6.6666...... (2)

subtracting (1) from (2) we have

10x - x = 6.66666.... -0.6666.....

⇒ 9x = 6

x = 6/9

= 2/3

### Thus, 0.6 repeating as a fraction is equal to 2/3.

Math worksheets and

visual curriculum

visual curriculum