Solve 1/12=1/20+1/12

$$\frac { 1 } { 12 } = \frac { 1 } { 20 } + \frac { 1 } { 12 }$$

Verify

Solution Steps

Least common multiple of 20 and 12 is 60. Convert \frac{1}{20} and \frac{1}{12} to fractions with denominator 60.

$$\frac{1}{12}=\frac{3}{60}+\frac{5}{60}$$

Since \frac{3}{60} and \frac{5}{60} have the same denominator, add them by adding their numerators.

$$\frac{1}{12}=\frac{3+5}{60}$$

Add 3 and 5 to get 8.

$$\frac{1}{12}=\frac{8}{60}$$

Reduce the fraction \frac{8}{60} to lowest terms by extracting and canceling out 4.

$$\frac{1}{12}=\frac{2}{15}$$

Least common multiple of 12 and 15 is 60. Convert \frac{1}{12} and \frac{2}{15} to fractions with denominator 60.

$$\frac{5}{60}=\frac{8}{60}$$

Compare \frac{5}{60} and \frac{8}{60}.

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