Solve -11/4-(-5/2)/-9/2-(-3/2)

$$\frac { - 11 / 4 - ( - 5 / 2 ) } { - 9 / 2 - ( - 3 / 2 ) }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

The opposite of -\frac{5}{2} is \frac{5}{2}.

$$\frac{-\frac{11}{4}+\frac{5}{2}}{-\frac{9}{2}-\left(-\frac{3}{2}\right)}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{11}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{-\frac{11}{4}+\frac{10}{4}}{-\frac{9}{2}-\left(-\frac{3}{2}\right)}$$

Since -\frac{11}{4} and \frac{10}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-11+10}{4}}{-\frac{9}{2}-\left(-\frac{3}{2}\right)}$$

Add -11 and 10 to get -1.

$$\frac{-\frac{1}{4}}{-\frac{9}{2}-\left(-\frac{3}{2}\right)}$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$\frac{-\frac{1}{4}}{-\frac{9}{2}+\frac{3}{2}}$$

Since -\frac{9}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{-\frac{1}{4}}{\frac{-9+3}{2}}$$

Add -9 and 3 to get -6.

$$\frac{-\frac{1}{4}}{\frac{-6}{2}}$$

Divide -6 by 2 to get -3.

$$\frac{-\frac{1}{4}}{-3}$$

Express \frac{-\frac{1}{4}}{-3} as a single fraction.

$$\frac{-1}{4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$\frac{-1}{-12}$$

Fraction \frac{-1}{-12} can be simplified to \frac{1}{12} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$