Question

Find the quotient. $$-87 \div\left(-\frac{3}{5}\right)$$

Short answer

The quotient of the given division is 145.

Step-by-step solution

Change the operation

Change the division operation to a multiplication operation by multiplying with the reciprocal of the divisor. Reciprocal of \(-\frac{3}{5}\) is \(-\frac{5}{3}\). However, since we are dividing by a negative number, the reciprocal will become positive. The expression now becomes: -87 * \(\frac{5}{3}\).

Multiply the numbers

Multiply -87 by \(\frac{5}{3}\). This results in \(-87 * \frac{5}{3} = -145\)

Consider the sign

Since both the numbers we're multiplying are negative, the answer will be positive. So, the final answer becomes: 145.