Write the recurring decimal 0.36 as a fraction. Give your answer in its simplest form. [0.36 means 0.3666...]
2 answers:
Answer:
.
Step-by-step explanation:
x
=
0.3666
.
.
(1)
10
x
=
3.666
...
(2)
100
x
=
36.666
...
(2)-(1):
100
x
−
10
x
=
36.666
...
−
3.666
...
90
x
=
33
x
=
33
90
=
11
30
Answer:
9/25
Step-by-step explanation:
In this case, 0.36 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point.
⇒ 36/100
After reducing this fraction we get
⇒ (36 ÷ 4) / (100 ÷ 4) = 9/25
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