1.

2/3*(-3/7) -1/6*3/2+1/14*2/5

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★ To Find :

We have to find the VALUE of : \large{\sf{ \frac{2}{3} \times \frac{-3}{7} - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}}}

\rule{200}{1}

★ Solution :

As we have to find the value of \large{\sf{ \frac{2}{3} \times \frac{-3}{7} - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}}}

So, FIRSTLY we will multiply the numbers.

\sf{\dashrightarrow \frac{2}{\cancel{3}} \times \frac{-\cancel{3}}{7} - \frac{1}{\cancel{6}} \times \frac{\cancel{3}}{2} + \frac{1}{\cancel{14}} \times \frac{\cancel{2}}{5}} \\ \\ \sf{\dashrightarrow \frac{2}{1} \times \frac{-1}{7} - \frac{1}{2} \times \frac{1}{2} + \frac{1}{7} \times \frac{1}{5}} \\ \\ \sf{\dashrightarrow \frac{-2}{7} - \frac{1}{4} + \frac{1}{35}}

→ Now, we will Take the L.C.M of the three rational numbers.

\sf{\dashrightarrow \frac{-2(20) - 35(1) + 4(1)}{140}} \\ \\ \sf{\dashrightarrow \frac{-40 - 35 + 4}{140}} \\ \\ \sf{\dashrightarrow \frac{-75 + 4}{140}} \\ \\ \sf{\dashrightarrow \frac{-71}{140}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{\frac{-71}{140}}}}}} \\ \\ \underline{\sf{\therefore \: \frac{-71}{140} \: is \: required \: answer.}}


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