Solve 0.05*[(1-0.5div0.8)+0.025]

$$0.05 \times [ ( 1 - 0.5 \div 0.8 ) + 0.025 ]$$

Evaluate

$$0.02$$

Solution Steps

Expand \frac{0.5}{0.8} by multiplying both numerator and the denominator by 10.

$$0.05\left(1-\frac{5}{8}+0.025\right)$$

Convert 1 to fraction \frac{8}{8}.

$$0.05\left(\frac{8}{8}-\frac{5}{8}+0.025\right)$$

Since \frac{8}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$0.05\left(\frac{8-5}{8}+0.025\right)$$

Subtract 5 from 8 to get 3.

$$0.05\left(\frac{3}{8}+0.025\right)$$

Convert decimal number 0.025 to fraction \frac{25}{1000}. Reduce the fraction \frac{25}{1000} to lowest terms by extracting and canceling out 25.

$$0.05\left(\frac{3}{8}+\frac{1}{40}\right)$$

Least common multiple of 8 and 40 is 40. Convert \frac{3}{8} and \frac{1}{40} to fractions with denominator 40.

$$0.05\left(\frac{15}{40}+\frac{1}{40}\right)$$

Since \frac{15}{40} and \frac{1}{40} have the same denominator, add them by adding their numerators.

$$0.05\times \frac{15+1}{40}$$

Add 15 and 1 to get 16.

$$0.05\times \frac{16}{40}$$

Reduce the fraction \frac{16}{40} to lowest terms by extracting and canceling out 8.

$$0.05\times \frac{2}{5}$$

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.

$$\frac{1}{20}\times \frac{2}{5}$$

Multiply \frac{1}{20} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{20\times 5}$$

Do the multiplications in the fraction \frac{1\times 2}{20\times 5}.

$$\frac{2}{100}$$

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

$$\frac{1}{50}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$