Solve 31/6+(-25/9)-(17/12)=

$$3 \frac { 1 } { 6 } +(- 2 \frac { 5 } { 9 } )-( 1 \frac { 7 } { 12 } )=$$

Evaluate

$$-\frac{35}{36}\approx -0.972222222$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}-\frac{2\times 9+5}{9}-\frac{1\times 12+7}{12}$$

Add 18 and 1 to get 19.

$$\frac{19}{6}-\frac{2\times 9+5}{9}-\frac{1\times 12+7}{12}$$

Multiply 2 and 9 to get 18.

$$\frac{19}{6}-\frac{18+5}{9}-\frac{1\times 12+7}{12}$$

Add 18 and 5 to get 23.

$$\frac{19}{6}-\frac{23}{9}-\frac{1\times 12+7}{12}$$

Least common multiple of 6 and 9 is 18. Convert \frac{19}{6} and \frac{23}{9} to fractions with denominator 18.

$$\frac{57}{18}-\frac{46}{18}-\frac{1\times 12+7}{12}$$

Since \frac{57}{18} and \frac{46}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-46}{18}-\frac{1\times 12+7}{12}$$

Subtract 46 from 57 to get 11.

$$\frac{11}{18}-\frac{1\times 12+7}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{11}{18}-\frac{12+7}{12}$$

Add 12 and 7 to get 19.

$$\frac{11}{18}-\frac{19}{12}$$

Least common multiple of 18 and 12 is 36. Convert \frac{11}{18} and \frac{19}{12} to fractions with denominator 36.

$$\frac{22}{36}-\frac{57}{36}$$

Since \frac{22}{36} and \frac{57}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-57}{36}$$

Subtract 57 from 22 to get -35.

$$-\frac{35}{36}$$

Factor

$$-\frac{35}{36} = -0.9722222222222222$$