Solve 21/2+4left(1/2+1/2right)+7

$$2 \frac{ 1 }{ 2 } +4 \left( \frac{ 1 }{ 2 } + \frac{ 1 }{ 2 } \right) +7$$

Evaluate

$$\frac{27}{2}=13.5$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+4\left(\frac{1}{2}+\frac{1}{2}\right)+7$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+4\left(\frac{1}{2}+\frac{1}{2}\right)+7$$

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

$$\frac{5}{2}+4\times \frac{1+1}{2}+7$$

Add 1 and 1 to get 2.

$$\frac{5}{2}+4\times \frac{2}{2}+7$$

Divide 2 by 2 to get 1.

$$\frac{5}{2}+4\times 1+7$$

Multiply 4 and 1 to get 4.

$$\frac{5}{2}+4+7$$

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

$$\frac{5}{2}+\frac{8}{2}+7$$

Since \frac{5}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+8}{2}+7$$

Add 5 and 8 to get 13.

$$\frac{13}{2}+7$$

Convert 7 to fraction \frac{14}{2}.

$$\frac{13}{2}+\frac{14}{2}$$

Since \frac{13}{2} and \frac{14}{2} have the same denominator, add them by adding their numerators.

$$\frac{13+14}{2}$$

Add 13 and 14 to get 27.

$$\frac{27}{2}$$

Factor

$$\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5$$