Question

Find the quotient. $$-18 \div \frac{3}{8}$$

Short answer

-48

Step-by-step solution

Identify the Dividend and Divisor

The dividend is -18 and the divisor is \(\frac{3}{8}\). We need to divide -18 by \(\frac{3}{8}\).

Conversion to Multiplication

The division \(-18 \div \frac{3}{8}\) can be rewritten as multiplication by the reciprocal of \(\frac{3}{8}\). The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\). So the problem becomes \(-18 * \frac{8}{3}\).

Perform the Multiplication

Multiply -18 and \(\frac{8}{3}\) to get the quotient. \(-18 * \frac{8}{3} = -48\). So, \(-18 \div \frac{3}{8} = -48\).