How do you convert 7.12 (12 being repeated) to a fraction?
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Answered by
1
We first let 7.12 be
x
.
Since
x
is recurring in 2 decimal places, we multiply it by 100.
100
x
=
712.12
Next, we subtract them.
100
x
−
x
=
712.12
−
7.12
99
x
=
705
Lastly, we divide both sides by 99 to get
x
as a fraction.
x
=
705
99
=
235
33
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