Question

Subtract the like following like terms:

$\frac{-4y^2}{5}\text{from}\frac{6y^2}{7}$

Answer 1

Finding the subtraction

$$\begin{gathered} \frac{6y^2}{7}-\frac{-4y^2}{5}=\left(\frac{6}{7}-\left(\frac{-4}{5}\right)\right)y^2 \\ =\left(\frac{6}{7}+\frac{4}{5}\right)y^2 \\ =\left(\frac{6\times 5+4\times 7}{35}\right)y^2 \\ =\left(\frac{30+28}{35}\right)y^2 \\ =\frac{58}{35}{y}^2 \\ So,\frac{6y^2}{7}-\frac{-4y^2}{5}=\frac{58}{35}{y}^2 \end{gathered}$$