Solve 3*2/frac{3{8}}*8/6

$$\frac { 3 \times 2 } { \frac { 3 } { 8 } } \cdot \frac { 8 } { 6 }$$

Evaluate

$$\frac{64}{3}\approx 21.333333333$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6}{\frac{3}{8}}\times \frac{8}{6}$$

Divide 6 by \frac{3}{8} by multiplying 6 by the reciprocal of \frac{3}{8}.

$$6\times \frac{8}{3}\times \frac{8}{6}$$

Express 6\times \frac{8}{3} as a single fraction.

$$\frac{6\times 8}{3}\times \frac{8}{6}$$

Multiply 6 and 8 to get 48.

$$\frac{48}{3}\times \frac{8}{6}$$

Divide 48 by 3 to get 16.

$$16\times \frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$16\times \frac{4}{3}$$

Express 16\times \frac{4}{3} as a single fraction.

$$\frac{16\times 4}{3}$$

Multiply 16 and 4 to get 64.

$$\frac{64}{3}$$

Factor

$$\frac{2 ^ {6}}{3} = 21\frac{1}{3} = 21.333333333333332$$