Solve -12-2/3{left(-3/4right)}^2=

$$-12- \frac{ 2 }{ 3 } { \left(- \frac{ 3 }{ 4 } \right) }^{ 2 } =$$

Evaluate

$$-\frac{99}{8}=-12.375$$

Solution Steps

Calculate -\frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$-12-\frac{2}{3}\times \frac{9}{16}$$

Multiply \frac{2}{3} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$-12-\frac{2\times 9}{3\times 16}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 16}.

$$-12-\frac{18}{48}$$

Reduce the fraction \frac{18}{48} to lowest terms by extracting and canceling out 6.

$$-12-\frac{3}{8}$$

Convert -12 to fraction -\frac{96}{8}.

$$-\frac{96}{8}-\frac{3}{8}$$

Since -\frac{96}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-96-3}{8}$$

Subtract 3 from -96 to get -99.

$$-\frac{99}{8}$$

Factor

$$-\frac{99}{8} = -12\frac{3}{8} = -12.375$$