Question

find 4 rational no between _2/5 and _1/3​

Answer 1

-2/5 × 3/3 = -10/15

-1/3 × 5/5 = -5/15

hence, 4 rational numbers are -6/15, -7/15, -8/15 and -9/15..

If the numbers are in positive order then the answer will be same but in positive...

hope it helps❤

Answer 2

question : find four rational number between

$\frac{2}{5} and \frac{1}{3}$

solution

first rational number

$\frac{1}{2} \times ( \frac{2}{5} + \frac{1}{3} )$

$\frac{1}{2} \times ( \frac{6}{15} + \frac{5}{15} )$

$\frac{1}{2} \times \frac{11}{15}$

$= \frac{11}{30}$

second rational number

$\frac{1}{2} \times ( \frac{2}{5} + \frac{11}{30} )$

$\frac{1}{2} \times (\frac{12 + 11} {30} )$

$\frac{1}{2} \times \frac{23}{30}$

$= \frac{23}{60}$

third rational number

$\frac{1}{2} \times ( \frac{1}{3} + \frac{11}{30} )$

$\frac{1}{2} \times( \frac{10 + 11}{30} )$

$\frac{1}{2} \times \frac{21}{30}$

$= \frac{21}{60}$

forth rational number

$\frac{1}{2} \times ( \frac{1}{3} + \frac{23}{60} )$

$\frac{1}{2} \times( \frac{20 + 23}{60} )$

$\frac{1}{2} \times \frac{43}{60}$

$= \frac{43}{120}$

therefore the four rational numbers are

$\frac{11}{30} \: \: \frac{23}{60} \: \: \frac{21}{60} \: \: \frac{43}{120}$