Solve 2/5+1/4-3/15+2/10-frac{1}{2}=3

$$\frac { 2 } { 5 } + \frac { 1 } { 4 } - \frac { 3 } { 15 } + \frac { 2 } { 10 } - \frac { 1 } { 2 } = 3$$

Verify

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{2}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{8}{20}+\frac{5}{20}-\frac{3}{15}+\frac{2}{10}-\frac{1}{2}=3$$

Since \frac{8}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{8+5}{20}-\frac{3}{15}+\frac{2}{10}-\frac{1}{2}=3$$

Add 8 and 5 to get 13.

$$\frac{13}{20}-\frac{3}{15}+\frac{2}{10}-\frac{1}{2}=3$$

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{13}{20}-\frac{1}{5}+\frac{2}{10}-\frac{1}{2}=3$$

Least common multiple of 20 and 5 is 20. Convert \frac{13}{20} and \frac{1}{5} to fractions with denominator 20.

$$\frac{13}{20}-\frac{4}{20}+\frac{2}{10}-\frac{1}{2}=3$$

Since \frac{13}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-4}{20}+\frac{2}{10}-\frac{1}{2}=3$$

Subtract 4 from 13 to get 9.

$$\frac{9}{20}+\frac{2}{10}-\frac{1}{2}=3$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{20}+\frac{1}{5}-\frac{1}{2}=3$$

Least common multiple of 20 and 5 is 20. Convert \frac{9}{20} and \frac{1}{5} to fractions with denominator 20.

$$\frac{9}{20}+\frac{4}{20}-\frac{1}{2}=3$$

Since \frac{9}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{20}-\frac{1}{2}=3$$

Add 9 and 4 to get 13.

$$\frac{13}{20}-\frac{1}{2}=3$$

Least common multiple of 20 and 2 is 20. Convert \frac{13}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{13}{20}-\frac{10}{20}=3$$

Since \frac{13}{20} and \frac{10}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-10}{20}=3$$

Subtract 10 from 13 to get 3.

$$\frac{3}{20}=3$$

Convert 3 to fraction \frac{60}{20}.

$$\frac{3}{20}=\frac{60}{20}$$

Compare \frac{3}{20} and \frac{60}{20}.

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