Question

-7/4+(3/5+-2/7)=(-7/4+3/5)+-2/7​

Answer 1

Answer:

Yes, they are equal!

Step-by-step explanation:

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Answer 2

$\Large{\mathfrak{\underline{\underline{Solution :-}}}}$

Consider,

$\sf LHS = \frac{ - 7}{4} + \bigg( \frac{3}{5} + \frac{ - 2}{7} \bigg) \\ \sf RHS = \bigg( \frac{ - 7}{4} + \frac{3}{5}\bigg) + \frac{ - 2}{7} \\ \\ \sf LHS = \frac{ - 7}{4} + \bigg( \frac{3}{5} + \frac{ - 2}{7} \bigg) \\ \: \: \: \: \: \: \: \: \: \sf= \frac{ - 7}{4} + \frac{3 \times 7 - 5 \times 2}{35} \\ \: \: \: \: \: \: \: \: \: \sf= \frac{ - 7}{4} + \frac{21 - 10}{35} \\ \: \: \: \: \: \: \: \: \: \sf= \frac{ - 7}{4} + \frac{11}{35} \\ \: \: \: \: \: \: \: \: \: \sf = \frac{ - 7 \times 35 + 11 \times 4}{140} \\ \: \: \: \: \: \: \: \: \: \sf = \frac{ - 201}{140} \\ \\ \sf RHS = \bigg( \frac{ - 7}{4} + \frac{3}{5}\bigg) + \frac{ - 2}{7} \\ \: \: \: \: \: \: \: \: \: \sf = \frac{ - 7 \times 5 + 3 \times 4}{12} + \frac{ - 2}{7} \\ \: \: \: \: \: \: \: \: \: \sf = \frac{ - 35 + 12}{20} + \frac{ - 2}{7} \\ \: \: \: \: \: \: \: \: \: \sf = \frac{ - 23}{20} - \frac{2}{7} \\ \: \: \: \: \: \: \: \: \: \sf = \frac{ - 23 \times 7 - 20 \times 2}{140} \\ \: \: \: \: \: \: \: \: \: \sf = \frac{ - 201}{140} \\ \\ \sf \frac{ - 201}{140} = \frac{ - 201}{140} \\ \\ \bf Hence \: Proved \: !! \\ \boxed{\boxed{\bf LHS = RHS}}$