Question

Simplify: ⓐ $\frac{0}{m+7},$where$m\ne -7.$

ⓑ $\frac{18-6c}{0},$ where,$18-6c\ne 0.$

Short answer

ⓐ$\frac{0}{m+7}=0.$

ⓑ$\frac{18-6c}{0}=$undefined.

Step-by-step solution

ⓐ Given Information

Given that$\frac{0}{m+7},$where$m\ne -7.$

Solution

Zero divided by any real number except itself is 0.

So,$\frac{0}{m+7}=0.$

Final Answer

Hence,$\frac{0}{m+7}=0.$

ⓑ Given Information

Given that$\frac{18-6c}{0},$Where$18-6c\ne 0.$

Solution

Division by 0 is undefined.

So, $\frac{18-6c}{0}=$undefined.

Final answer

Hence,$\frac{18-6c}{0}=$undefined.