Solve 7/frac{5{6}}div2/9

$$\frac { 7 } { \frac { 5 } { 6 } } \div \frac { 2 } { 9 }$$

Evaluate

$$\frac{189}{5}=37.8$$

Solution Steps

Divide \frac{7}{\frac{5}{6}} by \frac{2}{9} by multiplying \frac{7}{\frac{5}{6}} by the reciprocal of \frac{2}{9}.

$$\frac{7\times 9}{\frac{5}{6}\times 2}$$

Multiply 7 and 9 to get 63.

$$\frac{63}{\frac{5}{6}\times 2}$$

Express \frac{5}{6}\times 2 as a single fraction.

$$\frac{63}{\frac{5\times 2}{6}}$$

Multiply 5 and 2 to get 10.

$$\frac{63}{\frac{10}{6}}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{63}{\frac{5}{3}}$$

Divide 63 by \frac{5}{3} by multiplying 63 by the reciprocal of \frac{5}{3}.

$$63\times \frac{3}{5}$$

Express 63\times \frac{3}{5} as a single fraction.

$$\frac{63\times 3}{5}$$

Multiply 63 and 3 to get 189.

$$\frac{189}{5}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{5} = 37\frac{4}{5} = 37.8$$