Solve 4.5left(1/6561-1right)

$$4.5 \left( \frac{ 1 }{ 6561 } -1 \right)$$

Evaluate

$$-\frac{3280}{729}\approx -4.499314129$$

Solution Steps

Convert 1 to fraction \frac{6561}{6561}.

$$4.5\left(\frac{1}{6561}-\frac{6561}{6561}\right)$$

Since \frac{1}{6561} and \frac{6561}{6561} have the same denominator, subtract them by subtracting their numerators.

$$4.5\times \frac{1-6561}{6561}$$

Subtract 6561 from 1 to get -6560.

$$4.5\left(-\frac{6560}{6561}\right)$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}\left(-\frac{6560}{6561}\right)$$

Multiply \frac{9}{2} times -\frac{6560}{6561} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-6560\right)}{2\times 6561}$$

Do the multiplications in the fraction \frac{9\left(-6560\right)}{2\times 6561}.

$$\frac{-59040}{13122}$$

Reduce the fraction \frac{-59040}{13122} to lowest terms by extracting and canceling out 18.

$$-\frac{3280}{729}$$

Factor

$$-\frac{3280}{729} = -4\frac{364}{729} = -4.499314128943759$$