Solve 2+1/4/frac{2{4}}+3/4/frac{1{4}}

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

Evaluate

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

Solution Steps

Divide \frac{1}{4} by \frac{2}{4} by multiplying \frac{1}{4} by the reciprocal of \frac{2}{4}.

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

Multiply 4 and 2 to get 8.

$$2+\frac{4}{8}+\frac{\frac{3}{4}}{\frac{1}{4}}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

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

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

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

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

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

Add 4 and 1 to get 5.

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

Divide \frac{3}{4} by \frac{1}{4} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{4}.

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

Cancel out 4 and 4.

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

Convert 3 to fraction \frac{6}{2}.

$$\frac{5}{2}+\frac{6}{2}$$

Since \frac{5}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{2}$$

Add 5 and 6 to get 11.

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

Factor

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