Solve 4/2+5/10+1/2/frac{3{4}}

$$\frac { \frac { 4 } { 2 } + \frac { 5 } { 10 } + \frac { 1 } { 2 } } { \frac { 3 } { 4 } }$$

Evaluate

$$4$$

Solution Steps

Divide 4 by 2 to get 2.

$$\frac{2+\frac{5}{10}+\frac{1}{2}}{\frac{3}{4}}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

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

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

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

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

Add 4 and 1 to get 5.

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

Since \frac{5}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 5 and 1 to get 6.

$$\frac{\frac{6}{2}}{\frac{3}{4}}$$

Divide 6 by 2 to get 3.

$$\frac{3}{\frac{3}{4}}$$

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

$$3\times \frac{4}{3}$$

Cancel out 3 and 3.

$$4$$

Factor

$$2^{2}$$