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

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

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 4 and 1 to get 5.

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

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

$$\frac{5}{4}-\frac{10}{4}+2$$

Since \frac{5}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-10}{4}+2$$

Subtract 10 from 5 to get -5.

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

Convert 2 to fraction \frac{8}{4}.

$$-\frac{5}{4}+\frac{8}{4}$$

Since -\frac{5}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{-5+8}{4}$$

Add -5 and 8 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$