Question

find a rational number between
$\frac{3}{8}and \frac{2}{5}$
No Spamming pls​

Answer 1

$We \: have \: to \: take \: LCM$

$\\ So \: LCM \: of\: \frac{3}{8} \: and \: \frac{2}{5} \: is \: \frac{15}{40} \: and \: \frac{16}{40}$

$\\ So \: now \: that \: there \: are \: no \:number$

$in \: between \: we \: have \: multiply \: both$

$numerator \: and \: denominator \: by$

$any \: number \: say \: 2$

$\\ \frac{15 \times 2}{40 \times 2} \: and \: \frac{16 \times 2}{40 \times 2}$

$\\ \frac{30}{80} \: and \: \frac{32}{80}$

$\\The \: answer \: is \: \frac{31}{80}$

I hope this will help you dear..

Always stay safe and stay healthy..

Answer 2

Answer:

We know that,

A rational number lying between any two Rational numbers a and b is (a+b) 2

Now,

Here, a = b = ²

A rational number lying between andis (1) (1) </p><p>= (15+16) 40

31÷40

31÷40 × 1÷2

= 31/80

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