Solve 10/3+3/9-7/8+3/9=

$$\frac { 10 } { 3 } + \frac { 3 } { 9 } - \frac { 7 } { 8 } + \frac { 3 } { 9 } =$$

Evaluate

$$\frac{25}{8}=3.125$$

Solution Steps

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

$$\frac{10}{3}+\frac{1}{3}-\frac{7}{8}+\frac{3}{9}$$

Since \frac{10}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{3}-\frac{7}{8}+\frac{3}{9}$$

Add 10 and 1 to get 11.

$$\frac{11}{3}-\frac{7}{8}+\frac{3}{9}$$

Least common multiple of 3 and 8 is 24. Convert \frac{11}{3} and \frac{7}{8} to fractions with denominator 24.

$$\frac{88}{24}-\frac{21}{24}+\frac{3}{9}$$

Since \frac{88}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-21}{24}+\frac{3}{9}$$

Subtract 21 from 88 to get 67.

$$\frac{67}{24}+\frac{3}{9}$$

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

$$\frac{67}{24}+\frac{1}{3}$$

Least common multiple of 24 and 3 is 24. Convert \frac{67}{24} and \frac{1}{3} to fractions with denominator 24.

$$\frac{67}{24}+\frac{8}{24}$$

Since \frac{67}{24} and \frac{8}{24} have the same denominator, add them by adding their numerators.

$$\frac{67+8}{24}$$

Add 67 and 8 to get 75.

$$\frac{75}{24}$$

Reduce the fraction \frac{75}{24} to lowest terms by extracting and canceling out 3.

$$\frac{25}{8}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$