Solve -(+24/9)+(-75/6)=

$$- ( + 2 \frac { 4 } { 9 } ) + ( - 7 \frac { 5 } { 6 } ) =$$

Evaluate

$$-\frac{185}{18}\approx -10.277777778$$

Solution Steps

Multiply 2 and 9 to get 18.

$$-\frac{18+4}{9}-\frac{7\times 6+5}{6}$$

Add 18 and 4 to get 22.

$$-\frac{22}{9}-\frac{7\times 6+5}{6}$$

Multiply 7 and 6 to get 42.

$$-\frac{22}{9}-\frac{42+5}{6}$$

Add 42 and 5 to get 47.

$$-\frac{22}{9}-\frac{47}{6}$$

Least common multiple of 9 and 6 is 18. Convert -\frac{22}{9} and \frac{47}{6} to fractions with denominator 18.

$$-\frac{44}{18}-\frac{141}{18}$$

Since -\frac{44}{18} and \frac{141}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-44-141}{18}$$

Subtract 141 from -44 to get -185.

$$-\frac{185}{18}$$

Factor

$$-\frac{185}{18} = -10\frac{5}{18} = -10.277777777777779$$