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18 votes
18 votes
Write 0.2 repeating as a fraction in simplest form.

User Scott Law
by
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2 Answers

5 votes
5 votes

Answer:

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.

User Cescofry
by
2.7k points
21 votes
21 votes

0.2 Repeating Decimal is 2/9 as a Fraction

User Richard Housham
by
3.7k points