How do you convert 11.3 (3 being repeated) to a fraction?

Question

7776 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-17T04:28:51

#34/3#

We first let 11.3 be #x#.

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

#10x = 113.3#

Next, we subtract them.

#10x - x = 113.3 - 11.3#

#9x = 102#

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

#x = 102/9#

#= 34/3#