Solve 4/5+(3+0,4)-3,21

$$\frac { 4 } { 5 } + ( 3 + 0,4 ) - 3,21$$

Evaluate

$$0,99$$

Solution Steps

Convert 3 to fraction \frac{15}{5}.

$$\frac{4}{5}+\frac{15}{5}+0,4-3,21$$

Since \frac{4}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+15}{5}+0,4-3,21$$

Add 4 and 15 to get 19.

$$\frac{19}{5}+0,4-3,21$$

Convert decimal number 0,4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{5}+\frac{2}{5}-3,21$$

Since \frac{19}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{19+2}{5}-3,21$$

Add 19 and 2 to get 21.

$$\frac{21}{5}-3,21$$

Convert decimal number 3,21 to fraction \frac{321}{100}.

$$\frac{21}{5}-\frac{321}{100}$$

Least common multiple of 5 and 100 is 100. Convert \frac{21}{5} and \frac{321}{100} to fractions with denominator 100.

$$\frac{420}{100}-\frac{321}{100}$$

Since \frac{420}{100} and \frac{321}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{420-321}{100}$$

Subtract 321 from 420 to get 99.

$$\frac{99}{100}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 0.99$$