Solve (1/729-1)*18

$$( \frac{ 1 }{ 729 } -1) \times 18$$

Evaluate

$$-\frac{1456}{81}\approx -17.975308642$$

Solution Steps

Convert 1 to fraction \frac{729}{729}.

$$\left(\frac{1}{729}-\frac{729}{729}\right)\times 18$$

Since \frac{1}{729} and \frac{729}{729} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-729}{729}\times 18$$

Subtract 729 from 1 to get -728.

$$-\frac{728}{729}\times 18$$

Express -\frac{728}{729}\times 18 as a single fraction.

$$\frac{-728\times 18}{729}$$

Multiply -728 and 18 to get -13104.

$$\frac{-13104}{729}$$

Reduce the fraction \frac{-13104}{729} to lowest terms by extracting and canceling out 9.

$$-\frac{1456}{81}$$

Factor

$$-\frac{1456}{81} = -17\frac{79}{81} = -17.97530864197531$$