Question

Give three rational number between 3/6and 3/4

Answer 1

given :-

3/6 and 3/4

here we've to find any three rational numbers between them though they've ∞ rational numbers between them.

so first of all, we needa make the denominators of both rational numbers same

LCM of 6 and 4 = 2 × 2 × 3

= 12

• 3/6 = (3x 2)/(6×2)

= 6/12

• 3/6 = (3x3)/(4 x 3)

= 9/12

still we don't have enough rational numbers.

let's multiply both the fractions by 2

» 6/12 = (6 x 2)/(12 x 2) = 12/24

>> 9/12 = (9 × 2)/(12 x 2) = 18/24

>hence, three rational numbers between them are 13/24, 14/24 and 15/24

there are many other rational numbers too.. it's up to u.. you can choose any 3.

Answer 2

Answer:

7/12 and 8/12

Step-by-step explanation:

LCM of 6 and 4 is 12

3/4 = 9/12 ( after multiplying )

3/6 = 6/12 ( after multiplying )

Rational numbers between 3/4 and 3/6 are

7/12 and 8/12