Question

Express(1/2+3/4)divided by 2 as a rational number and show that it lies between 1/2and3/4

Answer 1

Given:

(1/2+3/4)divided by 2

To find:

Express(1/2+3/4)divided by 2 as a rational number and show that it lies between 1/2 and 3/4

Solution:

From given, we have,

(1/2 + 3/4) divided by 2

⇒ (1/2 + 3/4) ÷ 2

⇒ [(2 + 3)/4] ÷ 2

⇒ (5/4) × 1/2

⇒ 5/8

Hence 5/8 is the rational representation of (1/2 + 3/4) divided by 2

5/8 = 0.625

1/2 = 0.5

3/4 = 0.75

0.5 < 0.625 < 0.75

Hence 5/8 lies between 1/2 and 3/4