Solve 0,2-0,01:(-0,02)+3*(1-1/3)

$$0,2 - 0,01 : ( - 0,02 ) + 3 \cdot ( 1 - \frac { 1 } { 3 } )$$

Evaluate

$$2,7$$

Solution Steps

Expand \frac{0,01}{-0,02} by multiplying both numerator and the denominator by 100.

$$0,2-\frac{1}{-2}+3\left(1-\frac{1}{3}\right)$$

Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$0,2-\left(-\frac{1}{2}\right)+3\left(1-\frac{1}{3}\right)$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$0,2+\frac{1}{2}+3\left(1-\frac{1}{3}\right)$$

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.

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

Least common multiple of 5 and 2 is 10. Convert \frac{1}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{2}{10}+\frac{5}{10}+3\left(1-\frac{1}{3}\right)$$

Since \frac{2}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{10}+3\left(1-\frac{1}{3}\right)$$

Add 2 and 5 to get 7.

$$\frac{7}{10}+3\left(1-\frac{1}{3}\right)$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{7}{10}+3\left(\frac{3}{3}-\frac{1}{3}\right)$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{10}+3\times \frac{3-1}{3}$$

Subtract 1 from 3 to get 2.

$$\frac{7}{10}+3\times \frac{2}{3}$$

Cancel out 3 and 3.

$$\frac{7}{10}+2$$

Convert 2 to fraction \frac{20}{10}.

$$\frac{7}{10}+\frac{20}{10}$$

Since \frac{7}{10} and \frac{20}{10} have the same denominator, add them by adding their numerators.

$$\frac{7+20}{10}$$

Add 7 and 20 to get 27.

$$\frac{27}{10}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5} = 2\frac{7}{10} = 2.7$$