Solve 0.05(4/9-4)

$$0.05 ( \frac { 4 } { 9 } - 4 )$$

Evaluate

$$-\frac{8}{45}\approx -0.177777778$$

Solution Steps

Convert 4 to fraction \frac{36}{9}.

$$0.05\left(\frac{4}{9}-\frac{36}{9}\right)$$

Since \frac{4}{9} and \frac{36}{9} have the same denominator, subtract them by subtracting their numerators.

$$0.05\times \frac{4-36}{9}$$

Subtract 36 from 4 to get -32.

$$0.05\left(-\frac{32}{9}\right)$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{20}\left(-\frac{32}{9}\right)$$

Multiply \frac{1}{20} times -\frac{32}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-32\right)}{20\times 9}$$

Do the multiplications in the fraction \frac{1\left(-32\right)}{20\times 9}.

$$\frac{-32}{180}$$

Reduce the fraction \frac{-32}{180} to lowest terms by extracting and canceling out 4.

$$-\frac{8}{45}$$

Factor

$$-\frac{8}{45} = -0.17777777777777778$$