How do you convert 0.95 (5 being repeated) to a fraction?

Question

9869 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:31:12

#43/45#

We first let 0.95 be #x#.

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

#100x = 9.55#

Next, we subtract them.

#10x - x = 9.55 - 0.95#

#9x = 8.6#

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

#x = 8.6/9#

#= 86/90#

#= 43/45#