Solve 32/5+(-41/3)-27/15=

$$3 \frac { 2 } { 5 } + ( - 4 \frac { 1 } { 3 } ) - 2 \frac { 7 } { 15 } =$$

Evaluate

$$-\frac{17}{5}=-3.4$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}-\frac{4\times 3+1}{3}-\frac{2\times 15+7}{15}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}-\frac{4\times 3+1}{3}-\frac{2\times 15+7}{15}$$

Multiply 4 and 3 to get 12.

$$\frac{17}{5}-\frac{12+1}{3}-\frac{2\times 15+7}{15}$$

Add 12 and 1 to get 13.

$$\frac{17}{5}-\frac{13}{3}-\frac{2\times 15+7}{15}$$

Least common multiple of 5 and 3 is 15. Convert \frac{17}{5} and \frac{13}{3} to fractions with denominator 15.

$$\frac{51}{15}-\frac{65}{15}-\frac{2\times 15+7}{15}$$

Since \frac{51}{15} and \frac{65}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-65}{15}-\frac{2\times 15+7}{15}$$

Subtract 65 from 51 to get -14.

$$-\frac{14}{15}-\frac{2\times 15+7}{15}$$

Multiply 2 and 15 to get 30.

$$-\frac{14}{15}-\frac{30+7}{15}$$

Add 30 and 7 to get 37.

$$-\frac{14}{15}-\frac{37}{15}$$

Since -\frac{14}{15} and \frac{37}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-14-37}{15}$$

Subtract 37 from -14 to get -51.

$$\frac{-51}{15}$$

Reduce the fraction \frac{-51}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{17}{5}$$

Factor

$$-\frac{17}{5} = -3\frac{2}{5} = -3.4$$