Solve 2/3div2/5div3/7=

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

Evaluate

$$\frac{35}{9}\approx 3.888888889$$

Solution Steps

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

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

Express \frac{2}{3}\times 7 as a single fraction.

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

Multiply 2 and 7 to get 14.

$$\frac{\frac{14}{3}}{\frac{2}{5}\times 3}$$

Express \frac{2}{5}\times 3 as a single fraction.

$$\frac{\frac{14}{3}}{\frac{2\times 3}{5}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{14}{3}}{\frac{6}{5}}$$

Divide \frac{14}{3} by \frac{6}{5} by multiplying \frac{14}{3} by the reciprocal of \frac{6}{5}.

$$\frac{14}{3}\times \frac{5}{6}$$

Multiply \frac{14}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 5}{3\times 6}$$

Do the multiplications in the fraction \frac{14\times 5}{3\times 6}.

$$\frac{70}{18}$$

Reduce the fraction \frac{70}{18} to lowest terms by extracting and canceling out 2.

$$\frac{35}{9}$$

Factor

$$\frac{5 \cdot 7}{3 ^ {2}} = 3\frac{8}{9} = 3.888888888888889$$