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

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

Evaluate

$$\frac{17}{20}=0.85$$

Solution Steps

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

$$\frac{12}{20}+\frac{15}{20}-\frac{1}{2}$$

Since \frac{12}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{12+15}{20}-\frac{1}{2}$$

Add 12 and 15 to get 27.

$$\frac{27}{20}-\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{27}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{27}{20}-\frac{10}{20}$$

Since \frac{27}{20} and \frac{10}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-10}{20}$$

Subtract 10 from 27 to get 17.

$$\frac{17}{20}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 5} = 0.85$$