Solve (-3.2)-(-3/4)-(+4.8)+1/4

$$( - 3.2 ) - ( - \frac { 3 } { 4 } ) - ( + 4.8 ) + \frac { 1 } { 4 }$$

Evaluate

$$-7$$

Solution Steps

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

$$-3.2+\frac{3}{4}-4.8+\frac{1}{4}$$

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.

$$-\frac{16}{5}+\frac{3}{4}-4.8+\frac{1}{4}$$

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

$$-\frac{64}{20}+\frac{15}{20}-4.8+\frac{1}{4}$$

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

$$\frac{-64+15}{20}-4.8+\frac{1}{4}$$

Add -64 and 15 to get -49.

$$-\frac{49}{20}-4.8+\frac{1}{4}$$

Convert decimal number 4.8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{49}{20}-\frac{24}{5}+\frac{1}{4}$$

Least common multiple of 20 and 5 is 20. Convert -\frac{49}{20} and \frac{24}{5} to fractions with denominator 20.

$$-\frac{49}{20}-\frac{96}{20}+\frac{1}{4}$$

Since -\frac{49}{20} and \frac{96}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-49-96}{20}+\frac{1}{4}$$

Subtract 96 from -49 to get -145.

$$\frac{-145}{20}+\frac{1}{4}$$

Reduce the fraction \frac{-145}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{29}{4}+\frac{1}{4}$$

Since -\frac{29}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-29+1}{4}$$

Add -29 and 1 to get -28.

$$\frac{-28}{4}$$

Divide -28 by 4 to get -7.

$$-7$$

Factor

$$-7$$