Solve 2+1div3+6+3div5+(-(2+1div3))+(-(5+2div5))+(-5.6)

$$2+1 \div 3+6+3 \div 5+(-(2+1 \div 3))+(-(5+2 \div 5))+(-5.6)$$

Evaluate

$$-4.4$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}+\frac{1}{3}+6+\frac{3}{5}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{3}+6+\frac{3}{5}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Add 6 and 1 to get 7.

$$\frac{7}{3}+6+\frac{3}{5}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{7}{3}+\frac{18}{3}+\frac{3}{5}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Since \frac{7}{3} and \frac{18}{3} have the same denominator, add them by adding their numerators.

$$\frac{7+18}{3}+\frac{3}{5}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Add 7 and 18 to get 25.

$$\frac{25}{3}+\frac{3}{5}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Least common multiple of 3 and 5 is 15. Convert \frac{25}{3} and \frac{3}{5} to fractions with denominator 15.

$$\frac{125}{15}+\frac{9}{15}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Since \frac{125}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.

$$\frac{125+9}{15}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Add 125 and 9 to get 134.

$$\frac{134}{15}-\left(2+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{134}{15}-\left(\frac{6}{3}+\frac{1}{3}\right)-\left(5+\frac{2}{5}\right)-5.6$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{134}{15}-\frac{6+1}{3}-\left(5+\frac{2}{5}\right)-5.6$$

Add 6 and 1 to get 7.

$$\frac{134}{15}-\frac{7}{3}-\left(5+\frac{2}{5}\right)-5.6$$

Least common multiple of 15 and 3 is 15. Convert \frac{134}{15} and \frac{7}{3} to fractions with denominator 15.

$$\frac{134}{15}-\frac{35}{15}-\left(5+\frac{2}{5}\right)-5.6$$

Since \frac{134}{15} and \frac{35}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{134-35}{15}-\left(5+\frac{2}{5}\right)-5.6$$

Subtract 35 from 134 to get 99.

$$\frac{99}{15}-\left(5+\frac{2}{5}\right)-5.6$$

Reduce the fraction \frac{99}{15} to lowest terms by extracting and canceling out 3.

$$\frac{33}{5}-\left(5+\frac{2}{5}\right)-5.6$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{33}{5}-\left(\frac{25}{5}+\frac{2}{5}\right)-5.6$$

Since \frac{25}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{33}{5}-\frac{25+2}{5}-5.6$$

Add 25 and 2 to get 27.

$$\frac{33}{5}-\frac{27}{5}-5.6$$

Since \frac{33}{5} and \frac{27}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-27}{5}-5.6$$

Subtract 27 from 33 to get 6.

$$\frac{6}{5}-5.6$$

Convert decimal number 5.6 to fraction \frac{56}{10}. Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}-\frac{28}{5}$$

Since \frac{6}{5} and \frac{28}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-28}{5}$$

Subtract 28 from 6 to get -22.

$$-\frac{22}{5}$$

Factor

$$-4.4$$