Question

Find the product or quotient.

$\frac{-76}{4}$

Short answer

The quotient of the numbers is $-19$.

Step-by-step solution

Step-1 – Apply the concept of quotient

The quotient of two similar sign numbers is always positive.

The quotient of two numbers with different signs is always negative.

Step-2 – Example for quotient of numbers

The quotient of two positive numbers is positive as well. For example:$12÷3=4$.

The quotient of two negative numbers is positive. For example:$\left(-12\right)÷\left(-3\right)=4$.

And the quotient of two numbers with different signs is negative.

For example:$\left(-12\right)÷3=-4\text{or}12÷\left(-3\right)=-4$.

Step-3 – Evaluate the quotient

To evaluate thequotient $\frac{-76}{4}$,observe that the sign of both numbers is different. So, the quotient will be negative

$\begin{array}{c}\frac{-76}{4}=-\left(\frac{76}{4}\right)\\ =-\left(19\right)\\ =-19\end{array}$

Thus, the quotient of the given numbers is $-19$.