Solve 3/5-1/4+2

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

Evaluate

$$\frac{47}{20}=2.35$$

Solution Steps

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

$$\frac{12}{20}-\frac{5}{20}+2$$

Since \frac{12}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{20}+2$$

Subtract 5 from 12 to get 7.

$$\frac{7}{20}+2$$

Convert 2 to fraction \frac{40}{20}.

$$\frac{7}{20}+\frac{40}{20}$$

Since \frac{7}{20} and \frac{40}{20} have the same denominator, add them by adding their numerators.

$$\frac{7+40}{20}$$

Add 7 and 40 to get 47.

$$\frac{47}{20}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 5} = 2\frac{7}{20} = 2.35$$