Solve 11/4/frac{1{4}}+1/2

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

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Divide \frac{1\times 4+1}{4} by \frac{1}{4} by multiplying \frac{1\times 4+1}{4} by the reciprocal of \frac{1}{4}.

$$\frac{\left(1\times 4+1\right)\times 4}{4}+\frac{1}{2}$$

Cancel out 4 and 4.

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

Add 4 and 1 to get 5.

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

Convert 5 to fraction \frac{10}{2}.

$$\frac{10}{2}+\frac{1}{2}$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$