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AleksandrR [38]
3 years ago
9

What is ​ 0.63¯¯¯¯ ​ expressed as a fraction in simplest form? Enter your answer in the box.

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0
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
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