Solve -41/3+12/9=

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

Evaluate

$$-\frac{28}{9}\approx -3.111111111$$

Solution Steps

Multiply 4 and 3 to get 12.

$$-\frac{12+1}{3}+\frac{1\times 9+2}{9}$$

Add 12 and 1 to get 13.

$$-\frac{13}{3}+\frac{1\times 9+2}{9}$$

Multiply 1 and 9 to get 9.

$$-\frac{13}{3}+\frac{9+2}{9}$$

Add 9 and 2 to get 11.

$$-\frac{13}{3}+\frac{11}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{13}{3} and \frac{11}{9} to fractions with denominator 9.

$$-\frac{39}{9}+\frac{11}{9}$$

Since -\frac{39}{9} and \frac{11}{9} have the same denominator, add them by adding their numerators.

$$\frac{-39+11}{9}$$

Add -39 and 11 to get -28.

$$-\frac{28}{9}$$

Factor

$$-\frac{28}{9} = -3\frac{1}{9} = -3.111111111111111$$