Solve 0,2-4/10-1,625=

$$0,2 - \frac { 4 } { 10 } - 1,625 =$$

Evaluate

$$-1,825$$

Solution Steps

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

$$0,2-\frac{2}{5}-1,625$$

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.

$$\frac{1}{5}-\frac{2}{5}-1,625$$

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

$$\frac{1-2}{5}-1,625$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{5}-1,625$$

Convert decimal number 1,625 to fraction \frac{1625}{1000}. Reduce the fraction \frac{1625}{1000} to lowest terms by extracting and canceling out 125.

$$-\frac{1}{5}-\frac{13}{8}$$

Least common multiple of 5 and 8 is 40. Convert -\frac{1}{5} and \frac{13}{8} to fractions with denominator 40.

$$-\frac{8}{40}-\frac{65}{40}$$

Since -\frac{8}{40} and \frac{65}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-65}{40}$$

Subtract 65 from -8 to get -73.

$$-\frac{73}{40}$$

Factor

$$-1,825$$