Solve 1/18+1/24+1/36=

$$\frac { 1 } { 18 } + \frac { 1 } { 24 } + \frac { 1 } { 36 } =$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Least common multiple of 18 and 24 is 72. Convert \frac{1}{18} and \frac{1}{24} to fractions with denominator 72.

$$\frac{4}{72}+\frac{3}{72}+\frac{1}{36}$$

Since \frac{4}{72} and \frac{3}{72} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{72}+\frac{1}{36}$$

Add 4 and 3 to get 7.

$$\frac{7}{72}+\frac{1}{36}$$

Least common multiple of 72 and 36 is 72. Convert \frac{7}{72} and \frac{1}{36} to fractions with denominator 72.

$$\frac{7}{72}+\frac{2}{72}$$

Since \frac{7}{72} and \frac{2}{72} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{72}$$

Add 7 and 2 to get 9.

$$\frac{9}{72}$$

Reduce the fraction \frac{9}{72} to lowest terms by extracting and canceling out 9.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$