Solve -frac{5sqrt{(4)}}{4}+4/4^2

$$- \frac{ 5 \sqrt{ (4) } }{ 4 } + \frac{ 4 }{ { 4 }^{ 2 } }$$

Evaluate

$$-\frac{9}{4}=-2.25$$

Solution Steps

Rewrite 4^{2} as 4\times 4. Cancel out 4 in both numerator and denominator.

$$-\frac{5\sqrt{4}}{4}+\frac{1}{4}$$

Calculate the square root of 4 and get 2.

$$-\frac{5\times 2}{4}+\frac{1}{4}$$

Multiply 5 and 2 to get 10.

$$-\frac{10}{4}+\frac{1}{4}$$

Since -\frac{10}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-10+1}{4}$$

Add -10 and 1 to get -9.

$$-\frac{9}{4}$$

Factor

$$-\frac{9}{4} = -2\frac{1}{4} = -2.25$$