Solve 1/2left(4+4.5right)2

$$\frac{ 1 }{ 2 } \left( 4+4.5 \right) 2$$

Evaluate

$$8.5$$

Solution Steps

Add 4 and 4.5 to get 8.5.

$$\frac{1}{2}\times 8.5\times 2$$

Convert decimal number 8.5 to fraction \frac{85}{10}. Reduce the fraction \frac{85}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{17}{2}\times 2$$

Multiply \frac{1}{2} times \frac{17}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 17}{2\times 2}\times 2$$

Do the multiplications in the fraction \frac{1\times 17}{2\times 2}.

$$\frac{17}{4}\times 2$$

Express \frac{17}{4}\times 2 as a single fraction.

$$\frac{17\times 2}{4}$$

Multiply 17 and 2 to get 34.

$$\frac{34}{4}$$

Reduce the fraction \frac{34}{4} to lowest terms by extracting and canceling out 2.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$