Solve -58/9+72/3-(-21/18)=

$$- 5 \frac { 8 } { 9 } + 7 \frac { 2 } { 3 } - ( - 2 \frac { 1 } { 18 } ) =$$

Evaluate

$$\frac{23}{6}\approx 3.833333333$$

Solution Steps

Multiply 5 and 9 to get 45.

$$-\frac{45+8}{9}+\frac{7\times 3+2}{3}-\left(-\frac{2\times 18+1}{18}\right)$$

Add 45 and 8 to get 53.

$$-\frac{53}{9}+\frac{7\times 3+2}{3}-\left(-\frac{2\times 18+1}{18}\right)$$

Multiply 7 and 3 to get 21.

$$-\frac{53}{9}+\frac{21+2}{3}-\left(-\frac{2\times 18+1}{18}\right)$$

Add 21 and 2 to get 23.

$$-\frac{53}{9}+\frac{23}{3}-\left(-\frac{2\times 18+1}{18}\right)$$

Least common multiple of 9 and 3 is 9. Convert -\frac{53}{9} and \frac{23}{3} to fractions with denominator 9.

$$-\frac{53}{9}+\frac{69}{9}-\left(-\frac{2\times 18+1}{18}\right)$$

Since -\frac{53}{9} and \frac{69}{9} have the same denominator, add them by adding their numerators.

$$\frac{-53+69}{9}-\left(-\frac{2\times 18+1}{18}\right)$$

Add -53 and 69 to get 16.

$$\frac{16}{9}-\left(-\frac{2\times 18+1}{18}\right)$$

Multiply 2 and 18 to get 36.

$$\frac{16}{9}-\left(-\frac{36+1}{18}\right)$$

Add 36 and 1 to get 37.

$$\frac{16}{9}-\left(-\frac{37}{18}\right)$$

The opposite of -\frac{37}{18} is \frac{37}{18}.

$$\frac{16}{9}+\frac{37}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{16}{9} and \frac{37}{18} to fractions with denominator 18.

$$\frac{32}{18}+\frac{37}{18}$$

Since \frac{32}{18} and \frac{37}{18} have the same denominator, add them by adding their numerators.

$$\frac{32+37}{18}$$

Add 32 and 37 to get 69.

$$\frac{69}{18}$$

Reduce the fraction \frac{69}{18} to lowest terms by extracting and canceling out 3.

$$\frac{23}{6}$$

Factor

$$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$$