Solve 4-0.8/0.5-0.5

$$4- \frac{ 0.8 }{ 0.5 } -0.5$$

Evaluate

$$1.9$$

Solution Steps

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

$$4-\frac{8}{5}-0.5$$

Convert 4 to fraction \frac{20}{5}.

$$\frac{20}{5}-\frac{8}{5}-0.5$$

Since \frac{20}{5} and \frac{8}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-8}{5}-0.5$$

Subtract 8 from 20 to get 12.

$$\frac{12}{5}-0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{12}{5}-\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{12}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{24}{10}-\frac{5}{10}$$

Since \frac{24}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-5}{10}$$

Subtract 5 from 24 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$