Solve 8/12+3/4+5/24=

$$\frac { 8 } { 12 } + \frac { 3 } { 4 } + \frac { 5 } { 24 } =$$

Evaluate

$$\frac{13}{8}=1.625$$

Solution Steps

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}+\frac{3}{4}+\frac{5}{24}$$

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{3}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{9}{12}+\frac{5}{24}$$

Since \frac{8}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+9}{12}+\frac{5}{24}$$

Add 8 and 9 to get 17.

$$\frac{17}{12}+\frac{5}{24}$$

Least common multiple of 12 and 24 is 24. Convert \frac{17}{12} and \frac{5}{24} to fractions with denominator 24.

$$\frac{34}{24}+\frac{5}{24}$$

Since \frac{34}{24} and \frac{5}{24} have the same denominator, add them by adding their numerators.

$$\frac{34+5}{24}$$

Add 34 and 5 to get 39.

$$\frac{39}{24}$$

Reduce the fraction \frac{39}{24} to lowest terms by extracting and canceling out 3.

$$\frac{13}{8}$$

Factor

$$\frac{13}{2 ^ {3}} = 1\frac{5}{8} = 1.625$$