How do you convert 9.15 (15 being repeated) to a fraction?

Question

2103 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:41:40

#302/11#

We first let 9.15 be #x#.

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

#100x = 915.15#

Next, we subtract them.

#100x - x = 915.15 - 9.15#

#99x = 906#

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

#x = 906/99#

#= 302/11#