Solve -45/9+(-71/6)

$$- 4 \frac { 5 } { 9 } + ( - 7 \frac { 1 } { 6 } )$$

Evaluate

$$-\frac{211}{18}\approx -11.722222222$$

Solution Steps

Multiply 4 and 9 to get 36.

$$-\frac{36+5}{9}-\frac{7\times 6+1}{6}$$

Add 36 and 5 to get 41.

$$-\frac{41}{9}-\frac{7\times 6+1}{6}$$

Multiply 7 and 6 to get 42.

$$-\frac{41}{9}-\frac{42+1}{6}$$

Add 42 and 1 to get 43.

$$-\frac{41}{9}-\frac{43}{6}$$

Least common multiple of 9 and 6 is 18. Convert -\frac{41}{9} and \frac{43}{6} to fractions with denominator 18.

$$-\frac{82}{18}-\frac{129}{18}$$

Since -\frac{82}{18} and \frac{129}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-82-129}{18}$$

Subtract 129 from -82 to get -211.

$$-\frac{211}{18}$$

Factor

$$-\frac{211}{18} = -11\frac{13}{18} = -11.722222222222221$$