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

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

Evaluate

$$\frac{27}{20}=1.35$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{6}{10}+\frac{15}{10}-\frac{3}{4}$$

Since \frac{6}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$\frac{6+15}{10}-\frac{3}{4}$$

Add 6 and 15 to get 21.

$$\frac{21}{10}-\frac{3}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{21}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{42}{20}-\frac{15}{20}$$

Since \frac{42}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-15}{20}$$

Subtract 15 from 42 to get 27.

$$\frac{27}{20}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$$