Solve 1/16+2/8=1/2+1/4

$$\frac { 1 } { 16 } + \frac { 2 } { 8 } = \frac { 1 } { 2 } + \frac { 1 } { 4 }$$

Verify

Solution Steps

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

$$\frac{1}{16}+\frac{1}{4}=\frac{1}{2}+\frac{1}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{1}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{1}{16}+\frac{4}{16}=\frac{1}{2}+\frac{1}{4}$$

Since \frac{1}{16} and \frac{4}{16} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{16}=\frac{1}{2}+\frac{1}{4}$$

Add 1 and 4 to get 5.

$$\frac{5}{16}=\frac{1}{2}+\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{5}{16}=\frac{2}{4}+\frac{1}{4}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{5}{16}=\frac{2+1}{4}$$

Add 2 and 1 to get 3.

$$\frac{5}{16}=\frac{3}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{5}{16} and \frac{3}{4} to fractions with denominator 16.

$$\frac{5}{16}=\frac{12}{16}$$

Compare \frac{5}{16} and \frac{12}{16}.

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