Question

Write 0.2 repeating as a fraction in simplest form.

Answer 1

2.9

Explanation:

We let 0.2 be x.

Since x is recurring in 1 decimal places, we multiply it by 10.

10x = 2.2

Next, we subtract them.

10x - x = 2.2 - 0.2

9x = 2

Lastly, we divide both sides by 9 to get x as a fraction.

Answer: x = 2.9 or 2/9.

Answer 2

0.2 Repeating Decimal is 2/9 as a Fraction