Question

Add the following like terms:

$\frac{6}{5}xyand\frac{-12}{7}xy$

Answer 1

Finding addition

$$\begin{gathered} \frac{6}{5}xy+\frac{-12}{7}xy=\left(\frac{6}{5}+\frac{-12}{7}\right)xy \\ =\left(\frac{6\times 7+(-12)\times 5}{35}\right)xy \\ =\left(\frac{42+(-60)}{35}\right)xy \\ =\frac{-18}{35}xy \\ So,\frac{6}{5}xy+\frac{-12}{7}xy=\frac{-18}{35}xy \end{gathered}$$