Solve 1/8+1/12+3/8+5/12

$$\frac { 1 } { 8 } + \frac { 1 } { 12 } + \frac { 3 } { 8 } + \frac { 5 } { 12 }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{1}{8} and \frac{1}{12} to fractions with denominator 24.

$$\frac{3}{24}+\frac{2}{24}+\frac{3}{8}+\frac{5}{12}$$

Since \frac{3}{24} and \frac{2}{24} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{24}+\frac{3}{8}+\frac{5}{12}$$

Add 3 and 2 to get 5.

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

Least common multiple of 24 and 8 is 24. Convert \frac{5}{24} and \frac{3}{8} to fractions with denominator 24.

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

Since \frac{5}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

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

Add 5 and 9 to get 14.

$$\frac{14}{24}+\frac{5}{12}$$

Reduce the fraction \frac{14}{24} to lowest terms by extracting and canceling out 2.

$$\frac{7}{12}+\frac{5}{12}$$

Since \frac{7}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+5}{12}$$

Add 7 and 5 to get 12.

$$\frac{12}{12}$$

Divide 12 by 12 to get 1.

$$1$$

Factor

$$1$$