Question

Verify the following:
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Answer 1

Answer:

The solution is in the image.

Answer 2

LHS :

$(\frac{3}{4} +\frac{-2}{5} )+(\frac{-7}{10})\\ \\=(\frac{3}{4} -\frac{2}{5} )+(\frac{-7}{10})\\\\=(\frac{15-8}{20})-\frac{7}{10}\\ \\=\frac{7}{20}-\frac{7}{10}\\ \\=\frac{7-14}{20}\\ \\=\frac{-7}{20}$

RHS:

$\frac{3}{4}+(\frac{-2}{5} +\frac{-7}{10})\\ \\=\frac{3}{4}+(\frac{-4-7}{10})\\ \\=\frac{3}{4} -\frac{11}{10} \\\\=\frac{30-44}{40}\\ \\=\frac{-14}{40}\\ \\=\frac{-7}{20}$

Hence, LHS = RHS .