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

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{5}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{5}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

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

Add 5 and 2 to get 7.

$$\frac{7}{4}+\frac{3}{4}$$

Since \frac{7}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+3}{4}$$

Add 7 and 3 to get 10.

$$\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$