Similar Questions on Finding Rational Numbers Between Two Numbers

Question 1: What are the five rational numbers between 3/5 and 4/5?

Answer:

 The five rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30, and 23/30.

To find out a set of rational numbers between two numbers suppose A and B we need to express numbers A and B in rational numbers.

Proof:

Let’s multiple both the numbers with 6/6 to make denominators equal.

=>3/5 = 3/5 × 6/6 = 18/30

=>4/5 = 4/5 × 6/6 = 24/30

Hence, the five rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30, and 23/30.

Question 2: What are the rational numbers between 3/4 and 9/10?

Answer:

The rational numbers between 3/4 and 9/10 are 16/20 and 17/20.

To find out a set of rational numbers two numbers A and B we need to express numbers A and B in rational numbers.

Proof:

Let’s multiply 3/4 by 5/5 and 9/10 by 2/2 to make the denominators equal.

=>3/4 × 5/5 = 15/20

=>9/10 × 2/2 = 18/20

Hence, the rational numbers between 3/4 and 9/10 are 16/20 and 17/20.

Question 3: What are the five rational numbers between 3/5 and 6/5?

Answer:

The five rational numbers between 3/5 and 6/5 are 16/25, 17/25, 18/25, 19/25, and 20/25.

To find out a set of rational numbers two numbers A and B we need to express numbers A and B in rational numbers.

Proof:

Let’s multiply both the numbers with 5/5

=>3/5 × 5/5 = 15/25

=>6/5 × 5/5 = 30/25

Hence, the five rational numbers between 3/5 and 6/5 are 16/25, 17/25, 18/25, 19/25, and 20/25.

Question 4: What are the rational numbers between 2/5 and 3/4?

Answer:

The rational numbers between 2/5 and 3/4 are 9/20, 10/20, 11/20, 12/20, 13/20, and 14/20.

To find out a set of rational numbers two numbers A and B we need to express numbers A and B in rational numbers.

Proof:

Let’s multiply 2/5 by 4/4 and 3/4 by 5/5 to make the denominators equal.

=>2/5 = 2/5 × 4/4 = 8/20

=>3/4 = 3/4 × 5/5 = 15/20

Hence, the rational numbers between 2/5 and 3/4 are 9/20, 10/20, 11/20, 12/20, 13/20, and 14/20.