Question

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

0.875

Answer 1

Given: 0.875 a terminating decimal.

Step-wise calculation:

1. Express 0.875 as a fraction with denominator a power of 10:

`0.875 = 875/1000`

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

GCD of 875 and 1000 is 125.

`(875 ÷ 125)/(1000 ÷ 125) = 7/8`

`0.875 = 7/8`

So, the terminating decimal 0.875 is represented in the fraction form as `7/8`.