How do you convert 0.1241 (41 being repeated) to a fraction?

1 Answer
Mar 16, 2016

1229/9900

Explanation:

We first let 0.1241 be x.

Since x is recurring in 2 decimal places, we multiply it by 100.

100x = 12.4141

Next, we subtract them.

100x - x = 12.4141 - 0.1241

99x = 12.29

Lastly, we divide both sides by 99 to get x as a fraction.

x = 12.29/99

= 1229/9900