Question

find seven rational number between -3/7 and -2/5​

Answer 1

-3/7 and -2/5

the LCM is 35 so,

-15/35 and -14/35

so make it as

-150/350 and -140/350

by multiplying both side by 10/10

so the 7 rational numbers are

-141/350,-142/350,-143/350,-144/350,-145/350,-146/350 and -147/350

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Answer 2

HEY ❤️ ❤️

5 Rational numbers between

$- \frac{ 3}{7} and \: - \frac{2}{5}$

$- \frac{3}{7} \times \frac{5}{5} = - \frac{15}{35} \\ \\ \\ - \frac{2}{5} \times \frac{7}{7} = - \frac{14}{35}$

Then..

$- \frac{15}{35} \times \frac{8}{8} \\ \\ = - \frac{120}{280}$

$- \frac{14}{35} \times \frac{8}{8} \\ \\ = - \frac{112}{280}$

$5 \: rational \: numbers \: between \\ \\ - \frac{120}{280} and - \frac{112}{280} \: \: are \\ \\ \\ - \frac{119}{280} \\ \\ - \frac{118}{280} \\ \\ - \frac{117}{280} \\ \\ - \frac{116}{280} \\ \\ - \frac{115}{280} \\ \\- \frac{114}{280} \\ \\- \frac{113}{280}$

HOPE IT HELPS ❤️