Section 19.3 Deliberate Practice: Multiplying 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 factoring and cancellation step.
Present your work legibly.
Worksheet Worksheet
Instructions: Perform the indicated calculation.
1.
Calculate \(\displaystyle \frac{48}{35} \cdot \frac{25}{36}\text{.}\)
2.
Calculate \(\displaystyle \frac{20}{27} \cdot \frac{18}{25}\text{.}\)
3.
Calculate \(\displaystyle \frac{45}{7} \cdot \frac{28}{15}\text{.}\)
4.
Calculate \(\displaystyle \frac{15}{4ab^2} \cdot \frac{8a^2}{5b}\text{.}\)
5.
Calculate \(\displaystyle \frac{14x^2}{9y^3} \cdot \frac{15x y^2}{8}\text{.}\)
6.
Calculate \(\displaystyle \frac{9n^2m^3}{5} \cdot \frac{20 n m^3}{3}\text{.}\)
7.
Calculate \(\displaystyle \frac{15xz^2}{4y^3} \cdot \frac{2yz}{21 x^4}\text{.}\)
8.
Calculate \(\displaystyle \frac{14a^2}{3b^2 c^3} \cdot \frac{15a^2 c}{7b^3}\text{.}\)
9.
Calculate \(\displaystyle \frac{2 x^2 (x - 3)}{3(x-4)^2} \cdot \frac{6x (x-4)}{5 (x - 3)^2}\text{.}\)
10.
Calculate \(\displaystyle \frac{12 (x + 2)^2 (x - 1)}{5(x + 3)^2} \cdot \frac{10 (x + 2)}{9 (x - 1)(x + 3)^3}\text{.}\)