Solve 0.2-4/10-1.628

$$0.2 - \frac { 4 } { 10 } - 1.628$$

Evaluate

$$-1.828$$

Solution Steps

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

$$0.2-\frac{2}{5}-1.628$$

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.

$$\frac{1}{5}-\frac{2}{5}-1.628$$

Since \frac{1}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-2}{5}-1.628$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{5}-1.628$$

Convert decimal number 1.628 to fraction \frac{1628}{1000}. Reduce the fraction \frac{1628}{1000} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{5}-\frac{407}{250}$$

Least common multiple of 5 and 250 is 250. Convert -\frac{1}{5} and \frac{407}{250} to fractions with denominator 250.

$$-\frac{50}{250}-\frac{407}{250}$$

Since -\frac{50}{250} and \frac{407}{250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-50-407}{250}$$

Subtract 407 from -50 to get -457.

$$-\frac{457}{250}$$

Factor

$$-1.828$$