Solve 3/4+1/2-1/5

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

Evaluate

$$\frac{21}{20}=1.05$$

Solution Steps

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

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

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

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

$$\frac{25}{20}-\frac{4}{20}$$

Since \frac{25}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-4}{20}$$

Subtract 4 from 25 to get 21.

$$\frac{21}{20}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5} = 1\frac{1}{20} = 1.05$$