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Simplifying Fractions with Variables Worksheet

Directions:

Simplify the following fractions with variables as much as possible. Leave your answers in simplified form.

# Expression
1 (2x2y3)/(4xy2)
2 (3x3y)/(6x2yz2)
3 (4x3y2z)/(8xy2z3)
4 (5a2b3c)/(10ab2c2)
5 (6a3b)/(12a2bc2)
6 (7a2b2c)/(14a3b3)
7 (8a3b2)/(16a4bc)
8 (9a2b2)/(18a3b3c2)

Bonus Questions:

Simplify the following expressions as much as possible.

  1. (x2 – 4x)/(x – 2)
  2. (2y2 – 8y)/(y – 4)
  3. (3z2 – 12z)/(z – 4)