Question

In the following exercise, simplify$\frac{4\left(7-3\right)-2(4-9)}{-3(4+2)+7(3-6)}$

Short answer

The simplified value is$-\frac{2}{3}$

Step-by-step solution

Step 1, Given the information 

In the following exercise, simplify$\frac{4\left(7-3\right)-2(4-9)}{-3(4+2)+7(3-6)}$

Step 2. Simplification

Here,$$\begin{gathered} \frac{4\left(7-3\right)-2(4-9)}{-3(4+2)+7(3-6)} \\ =\frac{4*4-2\left(-5\right)}{-3\left(6\right)+7\left(-3\right)} \\ =\frac{16+10}{-18-21} \\ =\frac{26}{-39} \\ =-\frac{2}{3} \end{gathered}$$

Step 3. Conclusion

Hence, the simplified value is$-\frac{2}{3}$