Solve 7/32=1/8+1/16+11/32

$$\frac { 7 } { 32 } = \frac { 1 } { 8 } + \frac { 1 } { 16 } + \frac { 11 } { 32 }$$

Verify

Solution Steps

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

$$\frac{7}{32}=\frac{2}{16}+\frac{1}{16}+\frac{11}{32}$$

Since \frac{2}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{7}{32}=\frac{2+1}{16}+\frac{11}{32}$$

Add 2 and 1 to get 3.

$$\frac{7}{32}=\frac{3}{16}+\frac{11}{32}$$

Least common multiple of 16 and 32 is 32. Convert \frac{3}{16} and \frac{11}{32} to fractions with denominator 32.

$$\frac{7}{32}=\frac{6}{32}+\frac{11}{32}$$

Since \frac{6}{32} and \frac{11}{32} have the same denominator, add them by adding their numerators.

$$\frac{7}{32}=\frac{6+11}{32}$$

Add 6 and 11 to get 17.

$$\frac{7}{32}=\frac{17}{32}$$

Compare \frac{7}{32} and \frac{17}{32}.

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