Solve (2/5+1,2*0,3):4-2,2=

$$( \frac { 2 } { 5 } + 1,2 \cdot 0,3 ) : 4 - 2,2 =$$

Evaluate

$$-2,01$$

Solution Steps

Multiply 1,2 and 0,3 to get 0,36.

$$\frac{\frac{2}{5}+0,36}{4}-2,2$$

Convert decimal number 0,36 to fraction \frac{36}{100}. Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2}{5}+\frac{9}{25}}{4}-2,2$$

Least common multiple of 5 and 25 is 25. Convert \frac{2}{5} and \frac{9}{25} to fractions with denominator 25.

$$\frac{\frac{10}{25}+\frac{9}{25}}{4}-2,2$$

Since \frac{10}{25} and \frac{9}{25} have the same denominator, add them by adding their numerators.

$$\frac{\frac{10+9}{25}}{4}-2,2$$

Add 10 and 9 to get 19.

$$\frac{\frac{19}{25}}{4}-2,2$$

Express \frac{\frac{19}{25}}{4} as a single fraction.

$$\frac{19}{25\times 4}-2,2$$

Multiply 25 and 4 to get 100.

$$\frac{19}{100}-2,2$$

Convert decimal number 2,2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{100}-\frac{11}{5}$$

Least common multiple of 100 and 5 is 100. Convert \frac{19}{100} and \frac{11}{5} to fractions with denominator 100.

$$\frac{19}{100}-\frac{220}{100}$$

Since \frac{19}{100} and \frac{220}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-220}{100}$$

Subtract 220 from 19 to get -201.

$$-\frac{201}{100}$$

Factor

$$-2,01$$