Solve 1/2*21/2(11/2+2)

$$\frac{ 1 }{ 2 } \times 2 \frac{ 1 }{ 2 } (1 \frac{ 1 }{ 2 } +2)$$

Evaluate

$$\frac{35}{8}=4.375$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply \frac{1}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 5}{2\times 2}.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

$$\frac{5}{4}\left(\frac{3}{2}+2\right)$$

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

$$\frac{5}{4}\left(\frac{3}{2}+\frac{4}{2}\right)$$

Since \frac{3}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

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

Add 3 and 4 to get 7.

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

Multiply \frac{5}{4} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 7}{4\times 2}.

$$\frac{35}{8}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3}} = 4\frac{3}{8} = 4.375$$