91Ó°ÊÓ

Simplify the expression$\frac{3}{4q}−\frac{2}{5q}−\frac{1}{2q}$.

Simplify the expression $\frac{3t^2}{t+2}·\frac{t+2}{t^2}$.

Simplify the expression$\frac{11}{9}−\frac{7}{2w}−\frac{6}{5w}$.

Simplify the expression $\frac{4w+4}{3}·\frac{1}{w+1}$.

Determine whether $\frac{2d+5}{3d+5}=\frac{2}{3}$ is sometimes, always, or never true. Explain.

Consider $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ if a, b, and c are real numbers. Determine whether each statement is sometimes, always, or never true. Explain your answer.

a. abc is a common denominator.

b. abc is the LCD.

c. ab is the LCD.

d. b is the LCD.

e. The sum is $\frac{bc+ac+ab}{abc}$.

Simplify the expression$\frac{7}{y−8}−\frac{6}{8−y}$.

Simplify the expression $\frac{4t^2-4}{9{\left(t+1\right)}^2}·\frac{3t+3}{2t-2}$.

Simplify the expression$\frac{3p−21}{p^2−49}â‹\dots \frac{p^2+7p}{3p}$

Simplify the expression$\frac{5x^2+10x−75}{4x^2−24x−28}â‹\dots \frac{2x^2−10x−28}{x^2+7x+10}$