Solve 2/4=1/3-1/5

$$\frac { 2 } { 4 } = \frac { 1 } { 3 } - \frac { 1 } { 5 }$$

Verify

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}=\frac{1}{3}-\frac{1}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{1}{2}=\frac{5}{15}-\frac{3}{15}$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}=\frac{5-3}{15}$$

Subtract 3 from 5 to get 2.

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

Least common multiple of 2 and 15 is 30. Convert \frac{1}{2} and \frac{2}{15} to fractions with denominator 30.

$$\frac{15}{30}=\frac{4}{30}$$

Compare \frac{15}{30} and \frac{4}{30}.

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