Find five rational numbers between 3/5 and 4/5.

1.	Find five rational numbers between 3/5 and 4/5.
Answer» Steps to find n rational numbers between any two numbers: Step 1: Multiply and divide both the numbers by n + 1. In this example, we have to find 5 rational numbers between 3/5 and 4/5. Here n = 5 Multiply 3/5 and 4/5 by 6 3/5 x 6/6 = 18/30 and 4/5 x 6/6 = 24/30 Step 2: Choose 5 numbers between 18/30 and 24/30 3/5 = 18/30 < 19/30 < 20/30 < 21/30 < 22/30 < 23/30 < 24/30 = 4/5 Therefore, 5 rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30, 23/30.

Answer»

Steps to find n rational numbers between any two numbers:

Step 1: Multiply and divide both the numbers by n + 1.

In this example, we have to find 5 rational numbers between 3/5 and 4/5. Here n = 5

Multiply 3/5 and 4/5 by 6

3/5 x 6/6 = 18/30 and

4/5 x 6/6 = 24/30

Step 2: Choose 5 numbers between 18/30 and 24/30

3/5 = 18/30 < 19/30 < 20/30 < 21/30 < 22/30 < 23/30 < 24/30 = 4/5

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

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