Solve 9/4+1/2-10.25

$$\frac { 9 } { 4 } + \frac { 1 } { 2 } - 10.25$$

Evaluate

$$-7.5$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{9}{4}+\frac{2}{4}-10.25$$

Since \frac{9}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{4}-10.25$$

Add 9 and 2 to get 11.

$$\frac{11}{4}-10.25$$

Convert decimal number 10.25 to fraction \frac{1025}{100}. Reduce the fraction \frac{1025}{100} to lowest terms by extracting and canceling out 25.

$$\frac{11}{4}-\frac{41}{4}$$

Since \frac{11}{4} and \frac{41}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-41}{4}$$

Subtract 41 from 11 to get -30.

$$\frac{-30}{4}$$

Reduce the fraction \frac{-30}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{15}{2}$$

Factor

$$-7.5$$