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

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

Evaluate

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

Solution Steps

Divide 2 by 2 to get 1.

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

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{4}{20}+\frac{15}{20}-\frac{1}{2}+1$$

Since \frac{4}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{4+15}{20}-\frac{1}{2}+1$$

Add 4 and 15 to get 19.

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

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

$$\frac{19}{20}-\frac{10}{20}+1$$

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

$$\frac{19-10}{20}+1$$

Subtract 10 from 19 to get 9.

$$\frac{9}{20}+1$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{9}{20}+\frac{20}{20}$$

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

$$\frac{9+20}{20}$$

Add 9 and 20 to get 29.

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

Factor

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