Solve (0.2-3/40)*1.6

$$(0.2- \frac{ 3 }{ 40 } ) \times 1.6$$

Evaluate

$$0.2$$

Solution Steps

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.

$$\left(\frac{1}{5}-\frac{3}{40}\right)\times 1.6$$

Least common multiple of 5 and 40 is 40. Convert \frac{1}{5} and \frac{3}{40} to fractions with denominator 40.

$$\left(\frac{8}{40}-\frac{3}{40}\right)\times 1.6$$

Since \frac{8}{40} and \frac{3}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{40}\times 1.6$$

Subtract 3 from 8 to get 5.

$$\frac{5}{40}\times 1.6$$

Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.

$$\frac{1}{8}\times 1.6$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}\times \frac{8}{5}$$

Multiply \frac{1}{8} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{8\times 5}$$

Cancel out 8 in both numerator and denominator.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$