Solve 34/9+-12/3+-21/6=

$$3 \frac { 4 } { 9 } + - 1 \frac { 2 } { 3 } + - 2 \frac { 1 } { 6 } =$$

Evaluate

$$-\frac{7}{18}\approx -0.388888889$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+4}{9}-\frac{1\times 3+2}{3}-\frac{2\times 6+1}{6}$$

Add 27 and 4 to get 31.

$$\frac{31}{9}-\frac{1\times 3+2}{3}-\frac{2\times 6+1}{6}$$

Multiply 1 and 3 to get 3.

$$\frac{31}{9}-\frac{3+2}{3}-\frac{2\times 6+1}{6}$$

Add 3 and 2 to get 5.

$$\frac{31}{9}-\frac{5}{3}-\frac{2\times 6+1}{6}$$

Least common multiple of 9 and 3 is 9. Convert \frac{31}{9} and \frac{5}{3} to fractions with denominator 9.

$$\frac{31}{9}-\frac{15}{9}-\frac{2\times 6+1}{6}$$

Since \frac{31}{9} and \frac{15}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-15}{9}-\frac{2\times 6+1}{6}$$

Subtract 15 from 31 to get 16.

$$\frac{16}{9}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{16}{9}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{16}{9}-\frac{13}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{16}{9} and \frac{13}{6} to fractions with denominator 18.

$$\frac{32}{18}-\frac{39}{18}$$

Since \frac{32}{18} and \frac{39}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-39}{18}$$

Subtract 39 from 32 to get -7.

$$-\frac{7}{18}$$

Factor

$$-\frac{7}{18} = -0.3888888888888889$$