How do you convert 0.7326 (326 being repeated) to a fraction?

Question

1489 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-17T04:57:01

#7319/9990#

We first let 0.7326 (326 being repeated) be #x#.

Since #x# is recurring in 3 decimal places, we multiply it by 1000.

#1000x = 732.6326#

Next, we subtract them.

#1000x - x = 732.6326 - 0.7326#

#999x = 731.9#

Lastly, we divide both sides by 999 to get #x# as a fraction.

#x = 731.9/999#

#= 7319/9990#