Solve 5/8=2/8+2/8+1/8

$$\frac { 5 } { 8 } = \frac { 2 } { 8 } + \frac { 2 } { 8 } + \frac { 1 } { 8 }$$

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Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{5}{8}=\frac{1}{4}+\frac{2}{8}+\frac{1}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

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

Since \frac{1}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 1 to get 2.

$$\frac{5}{8}=\frac{2}{4}+\frac{1}{8}$$

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

$$\frac{5}{8}=\frac{1}{2}+\frac{1}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

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

Since \frac{4}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

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

Add 4 and 1 to get 5.

$$\frac{5}{8}=\frac{5}{8}$$

Compare \frac{5}{8} and \frac{5}{8}.

$$\text{true}$$