Solve 1/4=2/4-13/4

$$\frac { 1 } { 4 } = \frac { 2 } { 4 } - \frac { 13 } { 4 }$$

Verify

Solution Steps

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

$$\frac{1}{4}=\frac{1}{2}-\frac{13}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{13}{4} to fractions with denominator 4.

$$\frac{1}{4}=\frac{2}{4}-\frac{13}{4}$$

Since \frac{2}{4} and \frac{13}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}=\frac{2-13}{4}$$

Subtract 13 from 2 to get -11.

$$\frac{1}{4}=-\frac{11}{4}$$

Compare \frac{1}{4} and -\frac{11}{4}.

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