Question

Find the quotient. $$\frac{-26}{-\frac{1}{2}}$$

Short answer

The quotient of \(-26\) and \(-\frac{1}{2}\) is \(52\).

Step-by-step solution

Convert Division to Multiplication

An important concept to remember is that dividing by a fraction is the same as multiplying by its reciprocal. In this case, instead of dividing by \(-\frac{1}{2}\), multiply by the reciprocal, which is \(-2\). The expression becomes: \(-26 \times -2\)

Multiply the Numbers

The next step is to perform the multiplication. Recall that the product of two negative numbers is a positive number, so, \(-26 * -2 = 52\)

Final Result

After performing the above step, the answer to the problem is obtained, so the quotient of \(-26\) and \(-\frac{1}{2}\) is \(52\)