How do you convert 10.07 (7 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:39:40

#907/90#

We first let 10.07 (7 being repeated) be #x#.

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

#10x = 100.77#

Next, we subtract them.

#10x - x = 100.77 - 10.07#

#9x = 90.7#

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

#x = 90.7/9#

#= 907/90#