Solve .25+81/2-0.75-22

$$.25 + 8 \frac { 1 } { 2 } - 0.75 - 22$$

Evaluate

$$-14$$

Solution Steps

Multiply 8 and 2 to get 16.

$$0.25+\frac{16+1}{2}-0.75-22$$

Add 16 and 1 to get 17.

$$0.25+\frac{17}{2}-0.75-22$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}+\frac{17}{2}-0.75-22$$

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{17}{2} to fractions with denominator 4.

$$\frac{1}{4}+\frac{34}{4}-0.75-22$$

Since \frac{1}{4} and \frac{34}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+34}{4}-0.75-22$$

Add 1 and 34 to get 35.

$$\frac{35}{4}-0.75-22$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{35}{4}-\frac{3}{4}-22$$

Since \frac{35}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-3}{4}-22$$

Subtract 3 from 35 to get 32.

$$\frac{32}{4}-22$$

Divide 32 by 4 to get 8.

$$8-22$$

Subtract 22 from 8 to get -14.

$$-14$$

Factor

$$-14$$