Question

Simplify:$$\begin{gathered} \left(a\right)\frac{0}{m+7},wherem\ne -7 \\ \left(b\right)\frac{18-6c}{0},where18-6c\ne 0 \end{gathered}$$

Short answer

The solution of (a) is$0$and (b) is undefined.

Step-by-step solution

Part (a) Step 1. Given information

The expression:$\left(a\right)\frac{0}{m+7},wherem\ne -7$

Part (a) Step 2. Calculation

We have,

$$\begin{gathered} \frac{0}{m+7},wherem\ne -7 \\ =0 \end{gathered}$$

Since, zero divided by any number except itself is zero.

Part (b) Step 1. Given information

The expression:$\left(b\right)\frac{18-6c}{0},where18-6c\ne 0$

Part (b) Step 2. Calculation

We have,

$$\begin{gathered} \frac{18-6c}{0},where18-6c\ne 0 \\ =undefine \end{gathered}$$

Since, divided by zero is undefined.