Question

Solve it fast and do it correct​

Answer 1

Answer:

19/30 = 19/30

LHS = RHS

Step-by-step explanation:

$a=\frac{2}{3}$   ;   $b=\frac{4}{5}$   ;   $c=\frac{-5}{6}$

$a+(b+c)=(a+b)+c$

$\frac{2}{3} +(\frac{4}{5}+(\frac{-5}{6} ) )=(\frac{2}{3} +\frac{4}{5} )+(\frac{-5}{6} )\\\\\frac{2}{3} +(\frac{4}{5}-\frac{5}{6} ) =(\frac{2}{3} +\frac{4}{5} )-\frac{5}{6} \\\\\\Taking LCM,\\\\\frac{2}{3} +(\frac{4(6)-5(5)}{30} )=(\frac{2(5)+4(3)}{15} )-\frac{5}{6} \\\\\frac{2}{3} +(\frac{24-25}{30} )=(\frac{10+12}{15} )-\frac{5}{6} \\\\\frac{2}{3} +(\frac{-1}{30} )=\frac{22}{15} -\frac{5}{6}\\\\\frac{2}{3} -\frac{1}{30} =\frac{22}{15} -\frac{5}{6}\\\\Taking LCM,$

$\frac{2(10)-1}{30} =\frac{22(2)-5(5)}{30} \\\\\frac{20-1}{30} =\frac{44-25}{30} \\\\\frac{19}{30} =\frac{19}{30}$

LHS = RHS

Hence, verified.

Answer 2

Step-by-step explanation:

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