Solve 10%*0.8+0.2*18%

$$10 \% \times 0.8 + 0.2 \times 18 \%$$

Evaluate

$$0.116$$

Solution Steps

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

$$\frac{1}{10}\times 0.8+0.2\times \frac{18}{100}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{10}\times \frac{4}{5}+0.2\times \frac{18}{100}$$

Multiply \frac{1}{10} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{10\times 5}+0.2\times \frac{18}{100}$$

Do the multiplications in the fraction \frac{1\times 4}{10\times 5}.

$$\frac{4}{50}+0.2\times \frac{18}{100}$$

Reduce the fraction \frac{4}{50} to lowest terms by extracting and canceling out 2.

$$\frac{2}{25}+0.2\times \frac{18}{100}$$

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

$$\frac{2}{25}+0.2\times \frac{9}{50}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{25}+\frac{1}{5}\times \frac{9}{50}$$

Multiply \frac{1}{5} times \frac{9}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{25}+\frac{1\times 9}{5\times 50}$$

Do the multiplications in the fraction \frac{1\times 9}{5\times 50}.

$$\frac{2}{25}+\frac{9}{250}$$

Least common multiple of 25 and 250 is 250. Convert \frac{2}{25} and \frac{9}{250} to fractions with denominator 250.

$$\frac{20}{250}+\frac{9}{250}$$

Since \frac{20}{250} and \frac{9}{250} have the same denominator, add them by adding their numerators.

$$\frac{20+9}{250}$$

Add 20 and 9 to get 29.

$$\frac{29}{250}$$

Factor

$$\frac{29}{2 \cdot 5 ^ {3}} = 0.116$$