Solve 30-(-2)div(-10)+(-5):(-2)=

$$30 - ( - 2 ) \div ( - 10 ) + ( - 5 ) : ( - 2 ) =$$

Evaluate

$$\frac{323}{10}=32.3$$

Solution Steps

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

$$30-\frac{1}{5}+\frac{-5}{-2}$$

Convert 30 to fraction \frac{150}{5}.

$$\frac{150}{5}-\frac{1}{5}+\frac{-5}{-2}$$

Since \frac{150}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{150-1}{5}+\frac{-5}{-2}$$

Subtract 1 from 150 to get 149.

$$\frac{149}{5}+\frac{-5}{-2}$$

Fraction \frac{-5}{-2} can be simplified to \frac{5}{2} by removing the negative sign from both the numerator and the denominator.

$$\frac{149}{5}+\frac{5}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{149}{5} and \frac{5}{2} to fractions with denominator 10.

$$\frac{298}{10}+\frac{25}{10}$$

Since \frac{298}{10} and \frac{25}{10} have the same denominator, add them by adding their numerators.

$$\frac{298+25}{10}$$

Add 298 and 25 to get 323.

$$\frac{323}{10}$$

Factor

$$\frac{17 \cdot 19}{2 \cdot 5} = 32\frac{3}{10} = 32.3$$