How do you convert 0.7326 (26 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:52:38

#7253/9900#

We first let 0.7326 (26 being repeated) be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by #10^2#.

#100x = 73.2626#

Next, we subtract them.

#100x - x = 73.2626 - 0.7326#

#99x = 72.53#

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

#x = 72.53/99#

#= 7253/9900#