Section 17.3 Deliberate Practice: Reducing Fractions
Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.
Focus on these skills:
Write the original expression.
Show the cancellation.
Present your work legibly.
Worksheet Worksheet
Instructions: Perform the indicated calculation..
1.
Simplify \(\displaystyle \frac{12x^3 y^2}{20 x^2 y^3}\text{.}\)
2.
Simplify \(\displaystyle \frac{24a^5 b^3}{42 a^3 b^3}\text{.}\)
3.
Simplify \(\displaystyle \frac{15 p^3 q^4}{5 p^6 q^5}\text{.}\)
4.
Simplify \(\displaystyle \frac{12 x^5 y^4 z}{18 x y^2 z^4}\text{.}\)
5.
Simplify \(\displaystyle \frac{15 a^3 b^2}{35 a b^2 c^4}\text{.}\)
6.
Simplify \(\displaystyle \frac{24 m^2 n^4 p^3}{10 m^5 p^4}\text{.}\)
7.
Simplify \(\displaystyle \frac{8 (x + 3)^2 (x - 4)^5}{30 (x + 3)^3 (x - 4)^2}\text{.}\)
8.
Simplify \(\displaystyle \frac{18 (x + 3)^2 (x - 4)^5}{45 (x + 3)^3 (x - 4)^2}\text{.}\)
9.
Simplify \(\displaystyle \frac{30 (x + 1)^2 (x - 3)^5}{16 (x + 1)^3 (x - 3)^2}\text{.}\)
10.
Simplify \(\displaystyle \frac{49 x^2 (x - 1)^4 (x + 2)^5}{28 x^5 (x - 1)^2 (x - 1)^5}\text{.}\)