Solve left(9/2+13/2right)left(4/2+1/2right)

$$\left( \frac{ 9 }{ 2 } + \frac{ 13 }{ 2 } \right) \left( \frac{ 4 }{ 2 } + \frac{ 1 }{ 2 } \right)$$

Evaluate

$$\frac{55}{2}=27.5$$

Solution Steps

Since \frac{9}{2} and \frac{13}{2} have the same denominator, add them by adding their numerators.

$$\frac{9+13}{2}\left(\frac{4}{2}+\frac{1}{2}\right)$$

Add 9 and 13 to get 22.

$$\frac{22}{2}\left(\frac{4}{2}+\frac{1}{2}\right)$$

Divide 22 by 2 to get 11.

$$11\left(\frac{4}{2}+\frac{1}{2}\right)$$

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

$$11\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$11\times \frac{5}{2}$$

Express 11\times \frac{5}{2} as a single fraction.

$$\frac{11\times 5}{2}$$

Multiply 11 and 5 to get 55.

$$\frac{55}{2}$$

Factor

$$\frac{5 \cdot 11}{2} = 27\frac{1}{2} = 27.5$$