Practice30 Create account

The exact decimal of a fraction $\frac{p}{q}$ is given as 0.0875 (terminating).
In lowest terms, what is the smallest possible denominator $q$ ?

Class 10Decimal ExpansionsNumber Systems

A72
B88
C160
D80

Step-by-Step Solution

0.0875 = \frac{875}{10000} = \frac{7}{80}

(divide top and bottom by 125).

80 = 2^{4} \times 5

, so the denominator in lowest terms is 80.

Answer: D) 80

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Decimal Expansions practice questions

More Class 10 Decimal Expansions practice

A pizza is cut into 8 equal slices. The shaded portion below shows the slices eaten.…A chocolate bar is divided into 5 equal parts on a number line from 0 to 1, as shown.…Look at the bar graph. It shows the fraction of a job each of three machines completes:…Devi takes a fraction whose denominator (in lowest terms) is N. She finds N has the…Ananya observes that 1/7 = 0.142857..., 2/7 = 0.285714..., 3/7 = 0.428571..., all with a…