Solve 1/2(7(3.5)-3.5^2))

$$\frac{ 1 }{ 2 } (7(3.5)- { 3.5 }^{ 2 } ))$$

Evaluate

$$6.125$$

Solution Steps

Multiply 7 and 3.5 to get 24.5.

$$\frac{1}{2}\left(24.5-3.5^{2}\right)$$

Calculate 3.5 to the power of 2 and get 12.25.

$$\frac{1}{2}\left(24.5-12.25\right)$$

Subtract 12.25 from 24.5 to get 12.25.

$$\frac{1}{2}\times 12.25$$

Convert decimal number 12.25 to fraction \frac{1225}{100}. Reduce the fraction \frac{1225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{2}\times \frac{49}{4}$$

Multiply \frac{1}{2} times \frac{49}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 49}{2\times 4}$$

Do the multiplications in the fraction \frac{1\times 49}{2\times 4}.

$$\frac{49}{8}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3}} = 6\frac{1}{8} = 6.125$$