Question

Find the quotient. $$10 \div\left(-\frac{1}{5}\right)$$

Short answer

-50

Step-by-step solution

Identify the dividend and the divisor

Here, the dividend (the number to be divided) is 10 and the divisor (the number by which we are dividing) is \(-\frac{1}{5}\).

Recognize that dividing by a fraction is the same as multiplying by its reciprocal

Instead of dividing by the fraction \(-\frac{1}{5}\), we can multiply by its reciprocal, which is \(-5\). This converts the operation to multiplication, making it easier to carry out.

Perform multiplication

Multiply 10 by \(-5\) to get \(-50\). This is the quotient when 10 is divided by \(-\frac{1}{5}\).