Solve [(--3/2+3/5)+3]/3

$$[ ( - - 3 / 2 + 3 / 5 ) + 3 ] / 3$$

Evaluate

$$\frac{17}{10}=1.7$$

Solution Steps

The opposite of -\frac{3}{2} is \frac{3}{2}.

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

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{\frac{15}{10}+\frac{6}{10}+3}{3}$$

Since \frac{15}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{15+6}{10}+3}{3}$$

Add 15 and 6 to get 21.

$$\frac{\frac{21}{10}+3}{3}$$

Convert 3 to fraction \frac{30}{10}.

$$\frac{\frac{21}{10}+\frac{30}{10}}{3}$$

Since \frac{21}{10} and \frac{30}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{21+30}{10}}{3}$$

Add 21 and 30 to get 51.

$$\frac{\frac{51}{10}}{3}$$

Express \frac{\frac{51}{10}}{3} as a single fraction.

$$\frac{51}{10\times 3}$$

Multiply 10 and 3 to get 30.

$$\frac{51}{30}$$

Reduce the fraction \frac{51}{30} to lowest terms by extracting and canceling out 3.

$$\frac{17}{10}$$

Factor

$$\frac{17}{2 \cdot 5} = 1\frac{7}{10} = 1.7$$