Solve ((-3/4)-1)^2/(-3/4)+1

$$\frac { ( ( - 3 / 4 ) - 1 ) ^ { 2 } } { ( - 3 / 4 ) + 1 }$$

Evaluate

$$\frac{49}{4}=12.25$$

Solution Steps

Subtract 1 from -\frac{3}{4} to get -\frac{7}{4}.

$$\frac{\left(-\frac{7}{4}\right)^{2}}{-\frac{3}{4}+1}$$

Calculate -\frac{7}{4} to the power of 2 and get \frac{49}{16}.

$$\frac{\frac{49}{16}}{-\frac{3}{4}+1}$$

Add -\frac{3}{4} and 1 to get \frac{1}{4}.

$$\frac{\frac{49}{16}}{\frac{1}{4}}$$

Divide \frac{49}{16} by \frac{1}{4} by multiplying \frac{49}{16} by the reciprocal of \frac{1}{4}.

$$\frac{49}{16}\times 4$$

Multiply \frac{49}{16} and 4 to get \frac{49}{4}.

$$\frac{49}{4}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2}} = 12\frac{1}{4} = 12.25$$