How do you convert 0.35 (35 being repeated) to a fraction?

Question

7453 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:27:44

#35/99#

We first let 0.35 be #x#.

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

#100x = 35.35#

Next, we subtract them.

#100x - x = 35.35 - 0.35#

#99x = 35#

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

#x = 35/99#