Multiplication and Division of Fractions.

14. ${\displaystyle \frac{x^2+2x+1}{x^2-25}}÷{\displaystyle \frac{x+1}{x^2+5x}}$.

15. ${\displaystyle \frac{a^2+3a+2}{a^2+5a+6}}\times {\displaystyle \frac{a^2+7a+12}{a^2+9a+20}}$.

16. ${\displaystyle \frac{y^2-y-30}{y^2-36}}\times {\displaystyle \frac{y^2-y-2}{y^2+3y-10}}\times {\displaystyle \frac{y^2+6y}{y^2+y}}$.

17. ${\displaystyle \frac{x^2-2x+1}{x^2-y^2}}\times {\displaystyle \frac{x^2+2xy+y^2}{x-1}}÷{\displaystyle \frac{x^2-1}{x^2-xy}}$.

18. ${\displaystyle \frac{a^2-b^2}{a^2-3ab+2b^2}}\times {\displaystyle \frac{ab-2b^2}{a^2+ab}}÷{\displaystyle \frac{(a-b{)}^2}{a(a-b)}}$.

19. ${\displaystyle \frac{(a+b{)}^2-c^2}{a^2+ab-ac}}\times {\displaystyle \frac{a^2{b}^2{c}^2}{a^2+ab+ac}}÷{\displaystyle \frac{b^2{c}^2}{abc}}$.

20. ${\displaystyle \frac{x^2+7xy+10y^2}{x^2+6xy+5y^2}}\times {\displaystyle \frac{x+1}{x^2+4x+4}}÷{\displaystyle \frac{1}{x+2}}$.

138. Complex Fractions.

A complex fraction is one that has a fraction in the numerator, or in the denominator, or in both.

The shortest way to reduce to its simplest form