Question

find three rational numbers lying between 3/5 and 3/8

Answer 1

Hey friend,
Here is the answer you were looking for:
$rational \: number \: between \: \frac{3}{5} \: and \: \frac{3}{8} \\ \\ = ( \frac{3}{5} + \frac{3}{8} ) \div 2 \\ \\ = \frac{3 \times 8 + 3 \times 5}{40} \times \frac{1}{2} \\ \\ = \frac{24 + 15}{80} \\ \\ = \frac{39}{80} \\ \\ rational \: number \: between \\ \frac{3}{5} \: and \: \frac{39}{80} \\ \\ = ( \frac{3}{5} + \frac{39}{80} ) \div 2 \\ \\ = \frac{3 \times 16 + 39}{80} \times \frac{1}{2} \\ \\ = \frac{48 + 39}{160} \\ \\ = \frac{87}{160} \\ \\ rational \: number \: between \: \frac{39}{80} \: and \: \frac{3}{8} \\ \\ ( \frac{39}{80} + \frac{3}{8} ) \div 2 \\ \\ = \frac{39 \times 1 + 3 \times 10}{80} \times \frac{1}{2} \\ \\ = \frac{39 + 30}{160} \\ \\ = \frac{69}{160}$

Hope this helps!!!

@Mahak24

Thanks...
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