Solve 1/5+3/10=1-1/4

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

Verify

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{3}{10} to fractions with denominator 10.

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

Since \frac{2}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$\frac{5}{10}=1-\frac{1}{4}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 4 to get 3.

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

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

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

Compare \frac{2}{4} and \frac{3}{4}.

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