Question

Simplify:

ⓐ $\frac{0}{d-4},$where$d\ne 4.$

ⓑ $\frac{15-4q}{0},$where $15-4q\ne 0.$

Short answer

ⓐ$\frac{0}{d-4}=0$

ⓑ$\frac{15-4q}{0}=$undefined.

Step-by-step solution

ⓐ Given information

Given that$\frac{0}{d-4},$where$d\ne 4.$

Solution

Zero divided by any real number except itself is 0.

So,$\frac{0}{d-4}=0.$

Final answer

Hence,$\frac{0}{d-4}=0.$

ⓑ Given Information

Given that$\frac{15-4q}{0},$where$15-4q\ne 0.$

Solution

Division by 0 is undefined.

$\frac{15-4q}{0}=$undefined.

Final Answer

Hence,$\frac{15-4q}{0}=$Undefined.