Solve 1/2+1/4+2/1=

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

Evaluate

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

Solution Steps

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

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

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

Anything divided by one gives itself.

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

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

$$\frac{3}{4}+\frac{8}{4}$$

Since \frac{3}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{4}$$

Add 3 and 8 to get 11.

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

Factor

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