Solve 7/4-2/5+3/2

$$\frac { 7 } { 4 } - \frac { 2 } { 5 } + \frac { 3 } { 2 }$$

Evaluate

$$\frac{57}{20}=2.85$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{7}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{35}{20}-\frac{8}{20}+\frac{3}{2}$$

Since \frac{35}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-8}{20}+\frac{3}{2}$$

Subtract 8 from 35 to get 27.

$$\frac{27}{20}+\frac{3}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{27}{20} and \frac{3}{2} to fractions with denominator 20.

$$\frac{27}{20}+\frac{30}{20}$$

Since \frac{27}{20} and \frac{30}{20} have the same denominator, add them by adding their numerators.

$$\frac{27+30}{20}$$

Add 27 and 30 to get 57.

$$\frac{57}{20}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {2} \cdot 5} = 2\frac{17}{20} = 2.85$$