Solve (2*8/2:4/6)

$$( 2 \times \frac { 8 } { 2 } : \frac { 4 } { 6 } )$$

Evaluate

$$12$$

Solution Steps

Divide 8 by 2 to get 4.

$$\frac{2\times 4}{\frac{4}{6}}$$

Multiply 2 and 4 to get 8.

$$\frac{8}{\frac{4}{6}}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{\frac{2}{3}}$$

Divide 8 by \frac{2}{3} by multiplying 8 by the reciprocal of \frac{2}{3}.

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

Express 8\times \frac{3}{2} as a single fraction.

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

Multiply 8 and 3 to get 24.

$$\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$12$$

Factor

$$2^{2}\times 3$$