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

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

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

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

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

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

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

Add 2 and 5 to get 7.

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

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

$$\frac{7}{4}+\frac{10}{4}$$

Since \frac{7}{4} and \frac{10}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+10}{4}$$

Add 7 and 10 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$