How do you convert 9.7 (7 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:42:14

#88/9#

We first let 9.7 (7 being repeated) be #x#.

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

#10x = 97.7#

Next, we subtract them.

#10x - x = 97.7 - 9.7#

#9x = 88#

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

#x = 88/9#