Solve 24div6/7/frac{8{5}}

$$\frac { 24 \div \frac { 6 } { 7 } } { \frac { 8 } { 5 } }$$

Evaluate

$$\frac{35}{2}=17.5$$

Solution Steps

Divide \frac{24}{\frac{6}{7}} by \frac{8}{5} by multiplying \frac{24}{\frac{6}{7}} by the reciprocal of \frac{8}{5}.

$$\frac{24\times 5}{\frac{6}{7}\times 8}$$

Cancel out 8 in both numerator and denominator.

$$\frac{3\times 5}{\frac{6}{7}}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{\frac{6}{7}}$$

Divide 15 by \frac{6}{7} by multiplying 15 by the reciprocal of \frac{6}{7}.

$$15\times \frac{7}{6}$$

Express 15\times \frac{7}{6} as a single fraction.

$$\frac{15\times 7}{6}$$

Multiply 15 and 7 to get 105.

$$\frac{105}{6}$$

Reduce the fraction \frac{105}{6} to lowest terms by extracting and canceling out 3.

$$\frac{35}{2}$$

Factor

$$\frac{5 \cdot 7}{2} = 17\frac{1}{2} = 17.5$$