Question

Write the recurring decimal 0.36 as a fraction. Give your answer in its simplest form. [0.36 means 0.3666...]

Answer 1

9/25

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

Answer 2

.

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