Question

Find 5 rational numbers between 1/2 and 1 /4

Answer 1

Answer: 7/24, 8/24, 9/24, 10/24, 11/24

Rational numbers are represented in p/q form where q is not equal to zero. It is also a type of real number. Any fraction with non-zero denominators is a rational number. We can say that ‘0’ is also a rational number since it can represent it in many forms of 0/1, 0/2, 0/3, etc.

The set of rational numbers include positive, negative numbers, and zero and can be expressed as a fraction.

If numerator and denominator are of opposite signs then it is known as negative rational numbers. All negative rational numbers are less than 0.

The greater the value of the numeral component in the case of negative rational numbers, the lower the number value.

Rational numbers between 1/4 and 1/2

Let us make the denominators the same, say 24.

1/4 can be written as

1/4 = (1 × 6)/(4 × 6) = 6/24

1/2 can be written as

1/2 = (1 × 12)/(2 × 12) = 12/24

Five rational numbers between 1/4 and 1/2 are the same as the five rational numbers between 6/24 and 12/24

∴ Five rational numbers between 6/24 and 12/24 are 7/24, 8/24, 9/24, 10/24, 11/24