Solve 1/5+1/4=7/8

$$\frac{ 1 }{ 5 } + \frac{ 1 }{ 4 } = \frac{ 7 }{ 8 }$$

Verify

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{4}{20}+\frac{5}{20}=\frac{7}{8}$$

Since \frac{4}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{4+5}{20}=\frac{7}{8}$$

Add 4 and 5 to get 9.

$$\frac{9}{20}=\frac{7}{8}$$

Least common multiple of 20 and 8 is 40. Convert \frac{9}{20} and \frac{7}{8} to fractions with denominator 40.

$$\frac{18}{40}=\frac{35}{40}$$

Compare \frac{18}{40} and \frac{35}{40}.

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