Practice30 Create account

Using a common denominator of 60, how many distinct rational numbers of the form $\frac{k}{60} (k$ an integer) lie strictly between $\frac{1}{4}$ and $\frac{1}{3}$ ?

Class 8Rational Numbers Between Two NumbersRational Numbers

A3
B4
C8
D5

Step-by-Step Solution

\frac{1}{4} = \frac{15}{60}

and

\frac{1}{3} = \frac{20}{60}

. Strictly between:

k = 16

, 17, 18, 19, i.e. 4 numbers.

Answer: B) 4

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 Rational Numbers Between Two Numbers practice questions

More Class 8 Rational Numbers Between Two Numbers practice

Continuing Priya's process from 0 and 1, each step takes the mean of 0 and the previous…Vikram claims that 0.4545... (the repeating decimal 0.45 bar) lies between 4/9 and 5/9.…A wire of length 1 m is to be cut at a point whose distance from one end is a rational…Find a rational number between 11/15 and 4/5 by first writing 4/5 with denominator 15.…A number p/q lies exactly halfway between 5/6 and 1. When written in lowest terms, what…