Question

Insert Four H.M's between 4/5 and 4/15.
Correct answer will mark as brainlist .....

I hope you all are try to give correct answer...
@regard​

Answer 1

$\sf\large{\underline{\underline{Question:-}}}}$

Insert Four H.M's between 4/5 and 4/15.

$\sf\large{\underline{\underline{Solution:-}}}$

☛$\sf\frac{5}{4}'a_1,a_2,a_3,a_4,\frac{15}{4} in\:A.P$

where

☛$\sf a_1,a_2,a_3,a_4 are\:FourA.M's$

☛$\sf \frac{5}{4}+(6-1)d$

☛$\sf 5d=\frac{15}{4}-\frac{5}{4}$

☛$\sf 5d=\frac{10}{4}$

☛$d=\frac{1}{2}$

Therefore,

A.M are $\sf(\frac{5}{4}+\frac{1}{2}),(\frac{5}{4}+2×\frac{1}{2})\\\sf(\frac{5}{4}+3×\frac{1}{2}),(\frac{5}{4}+4×\frac{1}{2})$

Or

$\sf→\frac{7}{4},\frac{9}{4},\frac{11}{4},\frac{13}{4}$

Hence,

H.M's are $\sf\frac{4}{7},\frac{4}{9},\frac{4}{11} and\:\frac{4}{13}$