Solve 1/8div2/6div2/9=

$$\frac { 1 } { 8 } \div \frac { 2 } { 6 } \div \frac { 2 } { 9 } =$$

Evaluate

$$\frac{27}{16}=1.6875$$

Solution Steps

Divide \frac{\frac{1}{8}}{\frac{2}{6}} by \frac{2}{9} by multiplying \frac{\frac{1}{8}}{\frac{2}{6}} by the reciprocal of \frac{2}{9}.

$$\frac{\frac{1}{8}\times 9}{\frac{2}{6}\times 2}$$

Multiply \frac{1}{8} and 9 to get \frac{9}{8}.

$$\frac{\frac{9}{8}}{\frac{2}{6}\times 2}$$

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

$$\frac{\frac{9}{8}}{\frac{1}{3}\times 2}$$

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$\frac{\frac{9}{8}}{\frac{2}{3}}$$

Divide \frac{9}{8} by \frac{2}{3} by multiplying \frac{9}{8} by the reciprocal of \frac{2}{3}.

$$\frac{9}{8}\times \frac{3}{2}$$

Multiply \frac{9}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 3}{8\times 2}$$

Do the multiplications in the fraction \frac{9\times 3}{8\times 2}.

$$\frac{27}{16}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {4}} = 1\frac{11}{16} = 1.6875$$