Solve 1/2=1/10+1/20

$$\frac { 1 } { 2 } = \frac { 1 } { 10 } + \frac { 1 } { 20 }$$

Verify

Solution Steps

Least common multiple of 10 and 20 is 20. Convert \frac{1}{10} and \frac{1}{20} to fractions with denominator 20.

$$\frac{1}{2}=\frac{2}{20}+\frac{1}{20}$$

Since \frac{2}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}=\frac{2+1}{20}$$

Add 2 and 1 to get 3.

$$\frac{1}{2}=\frac{3}{20}$$

Least common multiple of 2 and 20 is 20. Convert \frac{1}{2} and \frac{3}{20} to fractions with denominator 20.

$$\frac{10}{20}=\frac{3}{20}$$

Compare \frac{10}{20} and \frac{3}{20}.

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