verify (- 2/7 + 3/4) / (3/7) / [(- 2/7) + 3/7] + [3/4 / (3/7)]

Asked by amitsingh533335 | 22nd Mar, 2022, 11:32: PM

Expert Answer:

To verify: (- 2/7 + 3/4) / (3/7) = [(- 2/7) + 3/7] + [3/4 / (3/7)]
Consider comma
LHS equals fraction numerator open parentheses negative begin display style 2 over 7 end style plus begin display style 3 over 4 end style close parentheses over denominator begin display style 3 over 7 end style end fraction equals fraction numerator begin display style fraction numerator negative 8 plus 21 over denominator 7 cross times 4 end fraction end style over denominator begin display style 3 over 7 end style end fraction equals fraction numerator 13 over denominator 4 cross times 3 end fraction equals 13 over 12
RHS equals open square brackets fraction numerator open parentheses negative begin display style 2 over 7 end style close parentheses over denominator begin display style 3 over 7 end style end fraction plus fraction numerator begin display style 3 over 4 end style over denominator begin display style 3 over 7 end style end fraction close square brackets equals negative 2 over 3 plus 7 over 4 equals fraction numerator negative 8 plus 21 over denominator 3 cross times 4 end fraction equals 13 over 12
Hence comma space verified.

Answered by Renu Varma | 29th Mar, 2022, 10:41: AM