Question

Represent the following terminating decimal in the form of a rational number `bb(("in fraction form" p/q)`:

0.36

Answer 1

Given: Represent the terminating decimal 0.36 as a rational number in fraction form `p/q`.

Step-wise calculation:

1. Write 0.36 as a fraction with denominator a power of 10:

`0.36 = 36/100`

2. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):

GCD of 36 and 100 = 4

`36/100`

= `(36 ÷ 4)/(100 ÷ 4)`

= `9/25`

`0.36 = 9/25` which is the required rational number in simplest fraction form.