Solve -15/9+(-71/6)

$$- 1 \frac { 5 } { 9 } + ( - 7 \frac { 1 } { 6 } )$$

Evaluate

$$-\frac{157}{18}\approx -8.722222222$$

Solution Steps

Multiply 1 and 9 to get 9.

$$-\frac{9+5}{9}-\frac{7\times 6+1}{6}$$

Add 9 and 5 to get 14.

$$-\frac{14}{9}-\frac{7\times 6+1}{6}$$

Multiply 7 and 6 to get 42.

$$-\frac{14}{9}-\frac{42+1}{6}$$

Add 42 and 1 to get 43.

$$-\frac{14}{9}-\frac{43}{6}$$

Least common multiple of 9 and 6 is 18. Convert -\frac{14}{9} and \frac{43}{6} to fractions with denominator 18.

$$-\frac{28}{18}-\frac{129}{18}$$

Since -\frac{28}{18} and \frac{129}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-28-129}{18}$$

Subtract 129 from -28 to get -157.

$$-\frac{157}{18}$$

Factor

$$-\frac{157}{18} = -8\frac{13}{18} = -8.722222222222221$$