How do you convert 1.01 (1 being repeated) to a fraction?

Question

2765 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:16:22

#91/90#

We first let 1.01 be #x#.

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

#10x = 10.11#

Next, we subtract them.

#10x - x = 10.11 - 1.01#

#9x = 9.1#

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

#x = 9.1/9#

#= 91/90#