Solve -63/9+25/3-(-33/18)

$$- 6 \frac { 3 } { 9 } + 2 \frac { 5 } { 3 } - ( - 3 \frac { 3 } { 18 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply 6 and 9 to get 54.

$$-\frac{54+3}{9}+\frac{2\times 3+5}{3}-\left(-\frac{3\times 18+3}{18}\right)$$

Add 54 and 3 to get 57.

$$-\frac{57}{9}+\frac{2\times 3+5}{3}-\left(-\frac{3\times 18+3}{18}\right)$$

Reduce the fraction \frac{57}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{19}{3}+\frac{2\times 3+5}{3}-\left(-\frac{3\times 18+3}{18}\right)$$

Multiply 2 and 3 to get 6.

$$-\frac{19}{3}+\frac{6+5}{3}-\left(-\frac{3\times 18+3}{18}\right)$$

Add 6 and 5 to get 11.

$$-\frac{19}{3}+\frac{11}{3}-\left(-\frac{3\times 18+3}{18}\right)$$

Since -\frac{19}{3} and \frac{11}{3} have the same denominator, add them by adding their numerators.

$$\frac{-19+11}{3}-\left(-\frac{3\times 18+3}{18}\right)$$

Add -19 and 11 to get -8.

$$-\frac{8}{3}-\left(-\frac{3\times 18+3}{18}\right)$$

Multiply 3 and 18 to get 54.

$$-\frac{8}{3}-\left(-\frac{54+3}{18}\right)$$

Add 54 and 3 to get 57.

$$-\frac{8}{3}-\left(-\frac{57}{18}\right)$$

Reduce the fraction \frac{57}{18} to lowest terms by extracting and canceling out 3.

$$-\frac{8}{3}-\left(-\frac{19}{6}\right)$$

The opposite of -\frac{19}{6} is \frac{19}{6}.

$$-\frac{8}{3}+\frac{19}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{8}{3} and \frac{19}{6} to fractions with denominator 6.

$$-\frac{16}{6}+\frac{19}{6}$$

Since -\frac{16}{6} and \frac{19}{6} have the same denominator, add them by adding their numerators.

$$\frac{-16+19}{6}$$

Add -16 and 19 to get 3.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$