Solve 3.2-(-3/4)-24+(-2.1)

$$3.2 - ( - \frac { 3 } { 4 } ) - 24 + ( - 2.1 )$$

Evaluate

$$-22.15$$

Solution Steps

The opposite of -\frac{3}{4} is \frac{3}{4}.

$$3.2+\frac{3}{4}-24-2.1$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}+\frac{3}{4}-24-2.1$$

Least common multiple of 5 and 4 is 20. Convert \frac{16}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{64}{20}+\frac{15}{20}-24-2.1$$

Since \frac{64}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{64+15}{20}-24-2.1$$

Add 64 and 15 to get 79.

$$\frac{79}{20}-24-2.1$$

Convert 24 to fraction \frac{480}{20}.

$$\frac{79}{20}-\frac{480}{20}-2.1$$

Since \frac{79}{20} and \frac{480}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{79-480}{20}-2.1$$

Subtract 480 from 79 to get -401.

$$-\frac{401}{20}-2.1$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$-\frac{401}{20}-\frac{21}{10}$$

Least common multiple of 20 and 10 is 20. Convert -\frac{401}{20} and \frac{21}{10} to fractions with denominator 20.

$$-\frac{401}{20}-\frac{42}{20}$$

Since -\frac{401}{20} and \frac{42}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-401-42}{20}$$

Subtract 42 from -401 to get -443.

$$-\frac{443}{20}$$

Factor

$$-22.15$$