Solve +(-25/6)-(+57/9)=

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

Evaluate

$$-\frac{155}{18}\approx -8.611111111$$

Solution Steps

Multiply 2 and 6 to get 12.

$$-\frac{12+5}{6}-\frac{5\times 9+7}{9}$$

Add 12 and 5 to get 17.

$$-\frac{17}{6}-\frac{5\times 9+7}{9}$$

Multiply 5 and 9 to get 45.

$$-\frac{17}{6}-\frac{45+7}{9}$$

Add 45 and 7 to get 52.

$$-\frac{17}{6}-\frac{52}{9}$$

Least common multiple of 6 and 9 is 18. Convert -\frac{17}{6} and \frac{52}{9} to fractions with denominator 18.

$$-\frac{51}{18}-\frac{104}{18}$$

Since -\frac{51}{18} and \frac{104}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-51-104}{18}$$

Subtract 104 from -51 to get -155.

$$-\frac{155}{18}$$

Factor

$$-\frac{155}{18} = -8\frac{11}{18} = -8.61111111111111$$