Solve 2/6:(3/12:1/8)=

$$\frac { 2 } { 6 } : ( \frac { 3 } { 12 } : \frac { 1 } { 8 } ) =$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Divide \frac{2}{6} by \frac{\frac{3}{12}}{\frac{1}{8}} by multiplying \frac{2}{6} by the reciprocal of \frac{\frac{3}{12}}{\frac{1}{8}}.

$$\frac{2\times \frac{1}{8}}{6\times \frac{3}{12}}$$

Multiply 2 and \frac{1}{8} to get \frac{2}{8}.

$$\frac{\frac{2}{8}}{6\times \frac{3}{12}}$$

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

$$\frac{\frac{1}{4}}{6\times \frac{3}{12}}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{1}{4}}{6\times \frac{1}{4}}$$

Multiply 6 and \frac{1}{4} to get \frac{6}{4}.

$$\frac{\frac{1}{4}}{\frac{6}{4}}$$

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

$$\frac{\frac{1}{4}}{\frac{3}{2}}$$

Divide \frac{1}{4} by \frac{3}{2} by multiplying \frac{1}{4} by the reciprocal of \frac{3}{2}.

$$\frac{1}{4}\times \frac{2}{3}$$

Multiply \frac{1}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{4\times 3}$$

Do the multiplications in the fraction \frac{1\times 2}{4\times 3}.

$$\frac{2}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$