Solve 1/4=1/5+1/15

$$1 / 4 = 1 / 5 + 1 / 15$$

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Solution Steps

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

$$\frac{1}{4}=\frac{3}{15}+\frac{1}{15}$$

Since \frac{3}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.

$$\frac{1}{4}=\frac{3+1}{15}$$

Add 3 and 1 to get 4.

$$\frac{1}{4}=\frac{4}{15}$$

Least common multiple of 4 and 15 is 60. Convert \frac{1}{4} and \frac{4}{15} to fractions with denominator 60.

$$\frac{15}{60}=\frac{16}{60}$$

Compare \frac{15}{60} and \frac{16}{60}.

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