Solve 1/2left(3.2+4right)2

$$\frac{ 1 }{ 2 } \left( 3.2+4 \right) 2$$

Evaluate

$$7.2$$

Solution Steps

Add 3.2 and 4 to get 7.2.

$$\frac{1}{2}\times 7.2\times 2$$

Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{36}{5}\times 2$$

Multiply \frac{1}{2} times \frac{36}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 36}{2\times 5}\times 2$$

Do the multiplications in the fraction \frac{1\times 36}{2\times 5}.

$$\frac{36}{10}\times 2$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{18}{5}\times 2$$

Express \frac{18}{5}\times 2 as a single fraction.

$$\frac{18\times 2}{5}$$

Multiply 18 and 2 to get 36.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$