How do you convert 0.84 (84 being repeated) to a fraction?

Question

16917 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-17T04:27:00

#28/33#

We first let 0.84 be #x#.

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

#100x = 84.84#

Next, we subtract them.

#100x - x = 84.84 - 0.84#

#99x = 84#

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

#x = 84/99#

#= 28/33#