How do you convert 3.76 (6 being repeated) to a fraction?

Question

4541 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-17T04:41:51

#113/30#

We first let 3.76 (6 being repeated) be #x#.

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

#10x = 37.66#

Next, we subtract them.

#10x - x = 37.66 - 3.76#

#9x = 33.9#

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

#x = 33.9/9#

#= 339/90#

#= 113/30#