Solve 1/2+4/16=1-14/4

$$\frac { 1 } { 2 } + \frac { 4 } { 16 } = 1 - \frac { 14 } { 4 }$$

Verify

Solution Steps

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}+\frac{1}{4}=1-\frac{14}{4}$$

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

$$\frac{2}{4}+\frac{1}{4}=1-\frac{14}{4}$$

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

$$\frac{2+1}{4}=1-\frac{14}{4}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}=1-\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}=1-\frac{7}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{3}{4}=\frac{2}{2}-\frac{7}{2}$$

Since \frac{2}{2} and \frac{7}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}=\frac{2-7}{2}$$

Subtract 7 from 2 to get -5.

$$\frac{3}{4}=-\frac{5}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and -\frac{5}{2} to fractions with denominator 4.

$$\frac{3}{4}=-\frac{10}{4}$$

Compare \frac{3}{4} and -\frac{10}{4}.

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