Solve 1/18=1/6+1/54

$$\frac { 1 } { 18 } = \frac { 1 } { 6 } + \frac { 1 } { 54 }$$

Verify

Solution Steps

Least common multiple of 6 and 54 is 54. Convert \frac{1}{6} and \frac{1}{54} to fractions with denominator 54.

$$\frac{1}{18}=\frac{9}{54}+\frac{1}{54}$$

Since \frac{9}{54} and \frac{1}{54} have the same denominator, add them by adding their numerators.

$$\frac{1}{18}=\frac{9+1}{54}$$

Add 9 and 1 to get 10.

$$\frac{1}{18}=\frac{10}{54}$$

Reduce the fraction \frac{10}{54} to lowest terms by extracting and canceling out 2.

$$\frac{1}{18}=\frac{5}{27}$$

Least common multiple of 18 and 27 is 54. Convert \frac{1}{18} and \frac{5}{27} to fractions with denominator 54.

$$\frac{3}{54}=\frac{10}{54}$$

Compare \frac{3}{54} and \frac{10}{54}.

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