Answer:
7
11
Explanation:
We let 0.63 (63 being repeated) be
x
.
x
=
0.6363
...
Since
x
is recurring in 2 decimal places, we multiply it by 100.
100
x
=
63.6363
...
Next, we subtract them.
100
x
−
x
=
63.6363
...
−
0.6363
...
99
x
=
63
The recurring digits '63' cancel off and the result is that
99
x
is non-recurring.
Lastly, we divide both sides by 99 to get
x
as a fraction.
x
=
63
99
=
7
11
