Question

Find r rational nubers between 2 by 3 and 3 by 4

Answer 1

Answer:

refer to the attachment

Answer 2

Answer:

Three rational numbers are 81 /120, 82/120, 83 / 120

Step-by-step explanation:

Given Problem:

Find rational nubers between 2 by 3 and 3 by 4

Solution:

To Find:

Find rational nubers between 2 by 3 and 3 by 4

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⇒To Find the rational numbers between 2/3 and 3/4

⇔First of all we have to find the L.C.M (Lease Common Factor) of the denominators , 3 and 4.

⇒L.C.M of 3 and 4 is = 12

After L.C.M,we have to equalise denominators of each fraction by making them equal to L.C.M

⇒2/3 = 2 × 4 / 3 × 4 = 8/ 12

⇒3/4 = 3×3/4×3 = 9/12

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Now,Multiply 8/12 and 9/12 by 10/10,We get..

⇒8/12 = 8×10/12×10 = 80/120

⇒9/12 = 9×10/12×10 = 90 / 120

So,Three rational numbers are 81 /120, 82/120, 83 / 120