Question

Find four rational number between 1/4and2/5

Answer 1

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$\bold\Find four rational number between 1/4and2/5$.

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1/4 and 2/5

We should make the denominator to find the rational numbers between 1/4 and 2/5.

So we shall take LCM.

LCM (of 4 and 5) = 20

1/4 × 5/5 = 5/20

2/5 × 4/4 = 8/20

There is no enough rational numbers between 5/20 and 8/20.

So we should multiple the numerator and denominator with 2.

5/20 × 2/2 = 10/20

8/20 × 2/2 = 16/20

Four Rational numbers between 10/20 and 16/20 are 11/20 , 12/20 , 13/20 , 14/20.

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