Solve (12/3-2/5)*30

$$( 1 \frac { 2 } { 3 } - \frac { 2 } { 5 } ) \times 30$$

Evaluate

$$38$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\left(\frac{3+2}{3}-\frac{2}{5}\right)\times 30$$

Add 3 and 2 to get 5.

$$\left(\frac{5}{3}-\frac{2}{5}\right)\times 30$$

Least common multiple of 3 and 5 is 15. Convert \frac{5}{3} and \frac{2}{5} to fractions with denominator 15.

$$\left(\frac{25}{15}-\frac{6}{15}\right)\times 30$$

Since \frac{25}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-6}{15}\times 30$$

Subtract 6 from 25 to get 19.

$$\frac{19}{15}\times 30$$

Express \frac{19}{15}\times 30 as a single fraction.

$$\frac{19\times 30}{15}$$

Multiply 19 and 30 to get 570.

$$\frac{570}{15}$$

Divide 570 by 15 to get 38.

$$38$$

Factor

$$2\times 19$$