Solve -(3/4div2/8)^2-5(-3)+(1/2)^2=

$$- ( \frac { 3 } { 4 } \div \frac { 2 } { 8 } ) ^ { 2 } - 5 ( - 3 ) + ( \frac { 1 } { 2 } ) ^ { 2 } =$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Divide \frac{3}{4} by \frac{2}{8} by multiplying \frac{3}{4} by the reciprocal of \frac{2}{8}.

$$-\left(\frac{3\times 8}{4\times 2}\right)^{2}-5\left(-3\right)+\left(\frac{1}{2}\right)^{2}$$

Cancel out 2\times 4 in both numerator and denominator.

$$-3^{2}-5\left(-3\right)+\left(\frac{1}{2}\right)^{2}$$

Calculate 3 to the power of 2 and get 9.

$$-9-5\left(-3\right)+\left(\frac{1}{2}\right)^{2}$$

Multiply 5 and -3 to get -15.

$$-9-\left(-15\right)+\left(\frac{1}{2}\right)^{2}$$

The opposite of -15 is 15.

$$-9+15+\left(\frac{1}{2}\right)^{2}$$

Add -9 and 15 to get 6.

$$6+\left(\frac{1}{2}\right)^{2}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$6+\frac{1}{4}$$

Add 6 and \frac{1}{4} to get \frac{25}{4}.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$