Question

find a rational number between _3/4 and _2/5​

Answer 1

if you mean -3/4 & -2/5

FIRSTLY EQUAL THE DENOMINATOR

LCM OF 4 AND 5 =20

$\frac{ - 3}{4} \times \frac{5}{5} = \frac{ - 15}{20} \\ \frac{ - 2}{5} \times \frac{4}{4} = \frac{ - 8}{20}$

then the rational numbers are

-9/20 ,-10/20,-11/20......and so on

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Answer 2

$\mathfrak{\huge{\red{Question}}}$

One Rational Number between

$\frac{3}{4} \: \: and \: \: \frac{2}{5}$

$\mathfrak{\huge{\red{ANSWER}}}$

$\frac{1}{2} \: \: \times \: \: (x + y) \\ \\ = \geqslant \frac{1}{2} \: \: \times \: \: ( \frac{3}{4} + \frac{2}{5} ) \\ \\ = \geqslant \frac{1}{2} \: \: \times \: ( \frac{15 + 8}{20} ) \\ \\ = \geqslant \frac{1}{2} \: \: \times \: \: \frac{23}{20} \\ \\ = \geqslant \frac{23}{40}$