Dividing Rational Expressions
~Jasmine,Deborah,Pasha'

Introduction~

Rational expressions are quotients found by dividing 2 polynomials. To divide rational expressions you must find the reciprocal of the second expression, and then multiply.Really and truly,dividing rational expressions is multiplication.The trick is that rational expressions are fractions and the code operation is division.A number/term over a number/term is division but to get the quotient you must multiply:only one commandment is needed for this project:only terms being multiplied can be cancelled.

Examples~

• y-8/y(y+2)÷y+8/y²+64= 1/y(y+2)
• 5x/x² +5x÷25x/x²+5x=1/5x
• x-2/3x-12÷x²-16/18=6(x-2)/x+4
• b-6/b+5b-24÷b-6/6b-24=1
• 15(x-4)/20(x-4)÷5x-4/20(x-4)=3

Dividing Rational Expresssions

Solve the following problems:
1. (1/2) / 5/4=
2. (3s/5sx) / s/10x=
3. (3x-3/x) / 12x-12/4x=
4. (5x/20y) / x /10y=
5. (3d/5d) / d/10a=
6. (20) / 3/2=
7. (x-y/y-x) / y-x/x-y=
8. (x/2) / x/3=
9. (6y/y-3) / 2y=
10. (m+3/3m) / 6m/m+3=

Conclusion~

Dividing rational expressions are very easy. The key is to flip the second dividend and multiply both expressions. Follow the last of the three commandments to cancel out like terms if necessary. These instructions are all you needed to solve these rational expessions. Hopefully dividing rational expressions will be easier for you after using these strategies.