Solve 4div2/3div9/20

$$4 \div \frac { 2 } { 3 } \div \frac { 9 } { 20 }$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Solution Steps

Divide \frac{4}{\frac{2}{3}} by \frac{9}{20} by multiplying \frac{4}{\frac{2}{3}} by the reciprocal of \frac{9}{20}.

$$\frac{4\times 20}{\frac{2}{3}\times 9}$$

Multiply 4 and 20 to get 80.

$$\frac{80}{\frac{2}{3}\times 9}$$

Express \frac{2}{3}\times 9 as a single fraction.

$$\frac{80}{\frac{2\times 9}{3}}$$

Multiply 2 and 9 to get 18.

$$\frac{80}{\frac{18}{3}}$$

Divide 18 by 3 to get 6.

$$\frac{80}{6}$$

Reduce the fraction \frac{80}{6} to lowest terms by extracting and canceling out 2.

$$\frac{40}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$