Solve 11/16=1/2+1/8+1/16

$$\frac { 11 } { 16 } = \frac { 1 } { 2 } + \frac { 1 } { 8 } + \frac { 1 } { 16 }$$

Verify

Solution Steps

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

$$\frac{11}{16}=\frac{4}{8}+\frac{1}{8}+\frac{1}{16}$$

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

$$\frac{11}{16}=\frac{4+1}{8}+\frac{1}{16}$$

Add 4 and 1 to get 5.

$$\frac{11}{16}=\frac{5}{8}+\frac{1}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{5}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{11}{16}=\frac{10}{16}+\frac{1}{16}$$

Since \frac{10}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{11}{16}=\frac{10+1}{16}$$

Add 10 and 1 to get 11.

$$\frac{11}{16}=\frac{11}{16}$$

Compare \frac{11}{16} and \frac{11}{16}.

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