Solve 21/2+1/4

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

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

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

$$\frac{10}{4}+\frac{1}{4}$$

Since \frac{10}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{4}$$

Add 10 and 1 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$