Question

Simplify:$$\begin{gathered} \left(a\right)\frac{0}{d-4},whered\ne 4 \\ \left(b\right)\frac{15-4q}{0},where15-4q\ne 0 \end{gathered}$$

Short answer

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

Step-by-step solution

Part (a) Step 1. Given information

The expression:$\left(a\right)\frac{0}{d-4},whered\ne 4$

Part (b) Step 2. Calculation

We have,

$$\begin{gathered} \frac{0}{d-4},whered\ne 4 \\ =0 \end{gathered}$$

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

Part (b) Step 1. Given information

The expression:$\left(b\right)\frac{15-4q}{0},where15-4q\ne 0$

Part (b) Step 2. Calculation

We have,

$$\begin{gathered} \frac{15-4q}{0},where15-4q\ne 0 \\ =undefine \end{gathered}$$

Since, divided by zero is undefined.