Solve 55/20-8/20=1/2

$$\frac { 55 } { 20 } - \frac { 8 } { 20 } = \frac { 1 } { 2 }$$

Verify

Solution Steps

Reduce the fraction \frac{55}{20} to lowest terms by extracting and canceling out 5.

$$\frac{11}{4}-\frac{8}{20}=\frac{1}{2}$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$\frac{11}{4}-\frac{2}{5}=\frac{1}{2}$$

Least common multiple of 4 and 5 is 20. Convert \frac{11}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{55}{20}-\frac{8}{20}=\frac{1}{2}$$

Since \frac{55}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-8}{20}=\frac{1}{2}$$

Subtract 8 from 55 to get 47.

$$\frac{47}{20}=\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{47}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{47}{20}=\frac{10}{20}$$

Compare \frac{47}{20} and \frac{10}{20}.

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