Solve 0.4*45%30%1/3

$$0.4 \times 45 \% 30 \% 1 / 3$$

Evaluate

$$0.018$$

Solution Steps

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$0.4\times \frac{9}{20}\times \frac{30}{100}\times \frac{1}{3}$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{9}{20}\times \frac{30}{100}\times \frac{1}{3}$$

Multiply \frac{2}{5} times \frac{9}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{5\times 20}\times \frac{30}{100}\times \frac{1}{3}$$

Do the multiplications in the fraction \frac{2\times 9}{5\times 20}.

$$\frac{18}{100}\times \frac{30}{100}\times \frac{1}{3}$$

Reduce the fraction \frac{18}{100} to lowest terms by extracting and canceling out 2.

$$\frac{9}{50}\times \frac{30}{100}\times \frac{1}{3}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{9}{50}\times \frac{3}{10}\times \frac{1}{3}$$

Multiply \frac{9}{50} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 3}{50\times 10}\times \frac{1}{3}$$

Do the multiplications in the fraction \frac{9\times 3}{50\times 10}.

$$\frac{27}{500}\times \frac{1}{3}$$

Multiply \frac{27}{500} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 1}{500\times 3}$$

Do the multiplications in the fraction \frac{27\times 1}{500\times 3}.

$$\frac{27}{1500}$$

Reduce the fraction \frac{27}{1500} to lowest terms by extracting and canceling out 3.

$$\frac{9}{500}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5 ^ {3}} = 0.018$$