Question

What is the fractional equivalent of the repeating decimal 0.6 ?

Answer 1

2/3

Explanation:

We know that 0.6 is part of the 1/3 family.

1/3 would be equal to 0.333...

2/3 would be equal to 0.666...

3/3 would equal to 1

Alternatively, we know that anything out of 9 or 99 would be a repeating decimal. Simply take 6 and divide it by 9:

6/9 = 0.666

We can then simplify the fraction by dividing both top-bottom by 3:

6/9 = 2/3