How do you convert 0.87 (7 being repeated) to a fraction?

Question

9958 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:13:11

#29/33#

We let 0.87 be #x#.

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

#100x = 87.87#

Next, we subtract them.

#100x - x = 87.87 - 0.87#

#99x = 87#

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

#x = 87/99#

#= 29/33#