Solve (1/2*3/5)(6-2)div2/3

$$( \frac { 1 } { 2 } \times \frac { 3 } { 5 } ) ( 6 - 2 ) \div \frac { 2 } { 3 }$$

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 3}{2\times 5}\left(6-2\right)}{\frac{2}{3}}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 5}.

$$\frac{\frac{3}{10}\left(6-2\right)}{\frac{2}{3}}$$

Subtract 2 from 6 to get 4.

$$\frac{\frac{3}{10}\times 4}{\frac{2}{3}}$$

Express \frac{3}{10}\times 4 as a single fraction.

$$\frac{\frac{3\times 4}{10}}{\frac{2}{3}}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{12}{10}}{\frac{2}{3}}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{6}{5}}{\frac{2}{3}}$$

Divide \frac{6}{5} by \frac{2}{3} by multiplying \frac{6}{5} by the reciprocal of \frac{2}{3}.

$$\frac{6}{5}\times \frac{3}{2}$$

Multiply \frac{6}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{6\times 3}{5\times 2}.

$$\frac{18}{10}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$