Solve 4/5div7/9div2/3=

$$\frac { 4 } { 5 } \div \frac { 7 } { 9 } \div \frac { 2 } { 3 } =$$

Evaluate

$$\frac{54}{35}\approx 1.542857143$$

Solution Steps

Divide \frac{\frac{4}{5}}{\frac{7}{9}} by \frac{2}{3} by multiplying \frac{\frac{4}{5}}{\frac{7}{9}} by the reciprocal of \frac{2}{3}.

$$\frac{\frac{4}{5}\times 3}{\frac{7}{9}\times 2}$$

Express \frac{4}{5}\times 3 as a single fraction.

$$\frac{\frac{4\times 3}{5}}{\frac{7}{9}\times 2}$$

Multiply 4 and 3 to get 12.

$$\frac{\frac{12}{5}}{\frac{7}{9}\times 2}$$

Express \frac{7}{9}\times 2 as a single fraction.

$$\frac{\frac{12}{5}}{\frac{7\times 2}{9}}$$

Multiply 7 and 2 to get 14.

$$\frac{\frac{12}{5}}{\frac{14}{9}}$$

Divide \frac{12}{5} by \frac{14}{9} by multiplying \frac{12}{5} by the reciprocal of \frac{14}{9}.

$$\frac{12}{5}\times \frac{9}{14}$$

Multiply \frac{12}{5} times \frac{9}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 9}{5\times 14}$$

Do the multiplications in the fraction \frac{12\times 9}{5\times 14}.

$$\frac{108}{70}$$

Reduce the fraction \frac{108}{70} to lowest terms by extracting and canceling out 2.

$$\frac{54}{35}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5 \cdot 7} = 1\frac{19}{35} = 1.542857142857143$$