Solve -62/9-32/3-(-63/18)=

$$- 6 \frac { 2 } { 9 } - 3 \frac { 2 } { 3 } - ( - 6 \frac { 3 } { 18 } ) =$$

Evaluate

$$-\frac{67}{18}\approx -3.722222222$$

Solution Steps

Multiply 6 and 9 to get 54.

$$-\frac{54+2}{9}-\frac{3\times 3+2}{3}-\left(-\frac{6\times 18+3}{18}\right)$$

Add 54 and 2 to get 56.

$$-\frac{56}{9}-\frac{3\times 3+2}{3}-\left(-\frac{6\times 18+3}{18}\right)$$

Multiply 3 and 3 to get 9.

$$-\frac{56}{9}-\frac{9+2}{3}-\left(-\frac{6\times 18+3}{18}\right)$$

Add 9 and 2 to get 11.

$$-\frac{56}{9}-\frac{11}{3}-\left(-\frac{6\times 18+3}{18}\right)$$

Least common multiple of 9 and 3 is 9. Convert -\frac{56}{9} and \frac{11}{3} to fractions with denominator 9.

$$-\frac{56}{9}-\frac{33}{9}-\left(-\frac{6\times 18+3}{18}\right)$$

Since -\frac{56}{9} and \frac{33}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-56-33}{9}-\left(-\frac{6\times 18+3}{18}\right)$$

Subtract 33 from -56 to get -89.

$$-\frac{89}{9}-\left(-\frac{6\times 18+3}{18}\right)$$

Multiply 6 and 18 to get 108.

$$-\frac{89}{9}-\left(-\frac{108+3}{18}\right)$$

Add 108 and 3 to get 111.

$$-\frac{89}{9}-\left(-\frac{111}{18}\right)$$

Reduce the fraction \frac{111}{18} to lowest terms by extracting and canceling out 3.

$$-\frac{89}{9}-\left(-\frac{37}{6}\right)$$

The opposite of -\frac{37}{6} is \frac{37}{6}.

$$-\frac{89}{9}+\frac{37}{6}$$

Least common multiple of 9 and 6 is 18. Convert -\frac{89}{9} and \frac{37}{6} to fractions with denominator 18.

$$-\frac{178}{18}+\frac{111}{18}$$

Since -\frac{178}{18} and \frac{111}{18} have the same denominator, add them by adding their numerators.

$$\frac{-178+111}{18}$$

Add -178 and 111 to get -67.

$$-\frac{67}{18}$$

Factor

$$-\frac{67}{18} = -3\frac{13}{18} = -3.7222222222222223$$