Solve 1/9div2/8div3/7=

$$\frac { 1 } { 9 } \div \frac { 2 } { 8 } \div \frac { 3 } { 7 } =$$

Evaluate

$$\frac{28}{27}\approx 1.037037037$$

Solution Steps

Divide \frac{\frac{1}{9}}{\frac{2}{8}} by \frac{3}{7} by multiplying \frac{\frac{1}{9}}{\frac{2}{8}} by the reciprocal of \frac{3}{7}.

$$\frac{\frac{1}{9}\times 7}{\frac{2}{8}\times 3}$$

Multiply \frac{1}{9} and 7 to get \frac{7}{9}.

$$\frac{\frac{7}{9}}{\frac{2}{8}\times 3}$$

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

$$\frac{\frac{7}{9}}{\frac{1}{4}\times 3}$$

Multiply \frac{1}{4} and 3 to get \frac{3}{4}.

$$\frac{\frac{7}{9}}{\frac{3}{4}}$$

Divide \frac{7}{9} by \frac{3}{4} by multiplying \frac{7}{9} by the reciprocal of \frac{3}{4}.

$$\frac{7}{9}\times \frac{4}{3}$$

Multiply \frac{7}{9} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{9\times 3}$$

Do the multiplications in the fraction \frac{7\times 4}{9\times 3}.

$$\frac{28}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {3}} = 1\frac{1}{27} = 1.037037037037037$$