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

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

Evaluate

$$\frac{29}{20}=1.45$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

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

Since \frac{15}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

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

Add 15 and 8 to get 23.

$$\frac{23}{20}-\frac{1}{5}+\frac{1}{2}$$

Least common multiple of 20 and 5 is 20. Convert \frac{23}{20} and \frac{1}{5} to fractions with denominator 20.

$$\frac{23}{20}-\frac{4}{20}+\frac{1}{2}$$

Since \frac{23}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-4}{20}+\frac{1}{2}$$

Subtract 4 from 23 to get 19.

$$\frac{19}{20}+\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{19}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{19}{20}+\frac{10}{20}$$

Since \frac{19}{20} and \frac{10}{20} have the same denominator, add them by adding their numerators.

$$\frac{19+10}{20}$$

Add 19 and 10 to get 29.

$$\frac{29}{20}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 5} = 1\frac{9}{20} = 1.45$$