Solve 7/8+13/3+9/8=

$$\frac { 7 } { 8 } + \frac { 13 } { 3 } + \frac { 9 } { 8 } =$$

Evaluate

$$\frac{19}{3}\approx 6.333333333$$

Solution Steps

Least common multiple of 8 and 3 is 24. Convert \frac{7}{8} and \frac{13}{3} to fractions with denominator 24.

$$\frac{21}{24}+\frac{104}{24}+\frac{9}{8}$$

Since \frac{21}{24} and \frac{104}{24} have the same denominator, add them by adding their numerators.

$$\frac{21+104}{24}+\frac{9}{8}$$

Add 21 and 104 to get 125.

$$\frac{125}{24}+\frac{9}{8}$$

Least common multiple of 24 and 8 is 24. Convert \frac{125}{24} and \frac{9}{8} to fractions with denominator 24.

$$\frac{125}{24}+\frac{27}{24}$$

Since \frac{125}{24} and \frac{27}{24} have the same denominator, add them by adding their numerators.

$$\frac{125+27}{24}$$

Add 125 and 27 to get 152.

$$\frac{152}{24}$$

Reduce the fraction \frac{152}{24} to lowest terms by extracting and canceling out 8.

$$\frac{19}{3}$$

Factor

$$\frac{19}{3} = 6\frac{1}{3} = 6.333333333333333$$