Solve 2/9div1/8div3/5=

$$\frac { 2 } { 9 } \div \frac { 1 } { 8 } \div \frac { 3 } { 5 } =$$

Evaluate

$$\frac{80}{27}\approx 2.962962963$$

Solution Steps

Divide \frac{\frac{2}{9}}{\frac{1}{8}} by \frac{3}{5} by multiplying \frac{\frac{2}{9}}{\frac{1}{8}} by the reciprocal of \frac{3}{5}.

$$\frac{\frac{2}{9}\times 5}{\frac{1}{8}\times 3}$$

Express \frac{2}{9}\times 5 as a single fraction.

$$\frac{\frac{2\times 5}{9}}{\frac{1}{8}\times 3}$$

Multiply 2 and 5 to get 10.

$$\frac{\frac{10}{9}}{\frac{1}{8}\times 3}$$

Multiply \frac{1}{8} and 3 to get \frac{3}{8}.

$$\frac{\frac{10}{9}}{\frac{3}{8}}$$

Divide \frac{10}{9} by \frac{3}{8} by multiplying \frac{10}{9} by the reciprocal of \frac{3}{8}.

$$\frac{10}{9}\times \frac{8}{3}$$

Multiply \frac{10}{9} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 8}{9\times 3}$$

Do the multiplications in the fraction \frac{10\times 8}{9\times 3}.

$$\frac{80}{27}$$

Factor

$$\frac{2 ^ {4} \cdot 5}{3 ^ {3}} = 2\frac{26}{27} = 2.962962962962963$$