Solve -1/2*{left(3/4right)}^2div9/16

$$- \frac{ 1 }{ 2 } \times { \left( \frac{ 3 }{ 4 } \right) }^{ 2 } \div \frac{ 9 }{ 16 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

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

$$\frac{-\frac{1}{2}\times \frac{9}{16}}{\frac{9}{16}}$$

Multiply -\frac{1}{2} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

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

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

$$\frac{\frac{-9}{32}}{\frac{9}{16}}$$

Fraction \frac{-9}{32} can be rewritten as -\frac{9}{32} by extracting the negative sign.

$$\frac{-\frac{9}{32}}{\frac{9}{16}}$$

Divide -\frac{9}{32} by \frac{9}{16} by multiplying -\frac{9}{32} by the reciprocal of \frac{9}{16}.

$$-\frac{9}{32}\times \frac{16}{9}$$

Multiply -\frac{9}{32} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\times 16}{32\times 9}$$

Do the multiplications in the fraction \frac{-9\times 16}{32\times 9}.

$$\frac{-144}{288}$$

Reduce the fraction \frac{-144}{288} to lowest terms by extracting and canceling out 144.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$