Solve 12/9-31/3

$$1 \frac{ 2 }{ 9 } -3 \frac{ 1 }{ 3 }$$

Evaluate

$$-\frac{19}{9}\approx -2.111111111$$

Solution Steps

Multiply 1 and 9 to get 9.

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

Add 9 and 2 to get 11.

$$\frac{11}{9}-\frac{3\times 3+1}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{11}{9}-\frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{11}{9}-\frac{10}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{11}{9} and \frac{10}{3} to fractions with denominator 9.

$$\frac{11}{9}-\frac{30}{9}$$

Since \frac{11}{9} and \frac{30}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-30}{9}$$

Subtract 30 from 11 to get -19.

$$-\frac{19}{9}$$

Factor

$$-\frac{19}{9} = -2\frac{1}{9} = -2.111111111111111$$