Solve -6/8-(-7/2)-3/6=

$$- \frac { 6 } { 8 } - ( - \frac { 7 } { 2 } ) - \frac { 3 } { 6 } =$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{4}-\left(-\frac{7}{2}\right)-\frac{3}{6}$$

The opposite of -\frac{7}{2} is \frac{7}{2}.

$$-\frac{3}{4}+\frac{7}{2}-\frac{3}{6}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{3}{4} and \frac{7}{2} to fractions with denominator 4.

$$-\frac{3}{4}+\frac{14}{4}-\frac{3}{6}$$

Since -\frac{3}{4} and \frac{14}{4} have the same denominator, add them by adding their numerators.

$$\frac{-3+14}{4}-\frac{3}{6}$$

Add -3 and 14 to get 11.

$$\frac{11}{4}-\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{11}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{11}{4}-\frac{2}{4}$$

Since \frac{11}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-2}{4}$$

Subtract 2 from 11 to get 9.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$