Solve -52/3+(-74/9)

$$- 5 \frac { 2 } { 3 } + ( - 7 \frac { 4 } { 9 } )$$

Evaluate

$$-\frac{118}{9}\approx -13.111111111$$

Solution Steps

Multiply 5 and 3 to get 15.

$$-\frac{15+2}{3}-\frac{7\times 9+4}{9}$$

Add 15 and 2 to get 17.

$$-\frac{17}{3}-\frac{7\times 9+4}{9}$$

Multiply 7 and 9 to get 63.

$$-\frac{17}{3}-\frac{63+4}{9}$$

Add 63 and 4 to get 67.

$$-\frac{17}{3}-\frac{67}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{17}{3} and \frac{67}{9} to fractions with denominator 9.

$$-\frac{51}{9}-\frac{67}{9}$$

Since -\frac{51}{9} and \frac{67}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-51-67}{9}$$

Subtract 67 from -51 to get -118.

$$-\frac{118}{9}$$

Factor

$$-\frac{118}{9} = -13\frac{1}{9} = -13.11111111111111$$