Question

Find four rational no. between 1/2 and 2/5 with full solution

Answer 1

Answer:

Rational numbers between 1/2 and 2/5 are-

first =1/2 (1/2+2/5) = 1/2 (5/10+4/10) = 1/2×9/10 = 9/20.

second = 1/2 (1/2+9/20) = 1/2 (10/20+9/20) = 1/2×19/20 = 19/20.

third = 1/2 (2/5+9/20) = 1/2 (8/20+9/20) = 1/2×17/20 = 17/20.

forth = 1/2 (19/20+17/20) = 1/2×36/20 = 18/20.

Answer 2

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Find four rational no. between $\frac{1}{2}$ and $\frac{2}{5}$

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Four rational numbers between $\frac{1}{2} = \frac{2}{5}$

【Cross Multiplication】

$\frac{1}{2} \times \frac{5}{5} \: and \: \frac{2}{5} \times \frac{2}{2}$

$\frac{5}{10} \: and \: \frac{4}{10}$

【Multiply by 5 on both sides】

$\frac{5}{10} \times \frac{5}{5} \: and \: \frac{4}{10} \times \frac{5}{5}$

$\frac{25}{50} \: and \: \frac{20}{50}$

So, there are four rational numbers between $\frac{25}{50} \: and \: \frac{20}{50} :-$

$1. \: \frac{21}{50}$

$2. \: \frac{22}{50}$

$3. \: \frac{23}{50}$

$4. \: \frac{24}{50}$