Solve (32/3-31/6)+3/5=

$$( 3 \frac { 2 } { 3 } - 3 \frac { 1 } { 6 } ) + \frac { 3 } { 5 } =$$

Evaluate

$$\frac{11}{10}=1.1$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+2}{3}-\frac{3\times 6+1}{6}+\frac{3}{5}$$

Add 9 and 2 to get 11.

$$\frac{11}{3}-\frac{3\times 6+1}{6}+\frac{3}{5}$$

Multiply 3 and 6 to get 18.

$$\frac{11}{3}-\frac{18+1}{6}+\frac{3}{5}$$

Add 18 and 1 to get 19.

$$\frac{11}{3}-\frac{19}{6}+\frac{3}{5}$$

Least common multiple of 3 and 6 is 6. Convert \frac{11}{3} and \frac{19}{6} to fractions with denominator 6.

$$\frac{22}{6}-\frac{19}{6}+\frac{3}{5}$$

Since \frac{22}{6} and \frac{19}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-19}{6}+\frac{3}{5}$$

Subtract 19 from 22 to get 3.

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

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}+\frac{3}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{6}{10}$$

Since \frac{5}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{10}$$

Add 5 and 6 to get 11.

$$\frac{11}{10}$$

Factor

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1.1$$