Section 20.3 Deliberate Practice: Dividing 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 \(\displaystyle \frac{36}{35} \div \frac{21}{25}\text{.}\)
2.
Calculate \(\displaystyle \frac{8}{15} \div \frac{20}{27}\text{.}\)
3.
Calculate \(\displaystyle \frac{45}{28} \div \frac{15}{14}\text{.}\)
4.
Calculate \(\displaystyle \frac{9x^2}{5y^3} \div \frac{6x y^2}{35}\text{.}\)
5.
Calculate \(\displaystyle \frac{15b}{4a^2} \div \frac{9a^2 b^2}{10}\text{.}\)
6.
Calculate \(\displaystyle \frac{9}{5n^2m^3} \div \frac{3 n m^2}{20}\text{.}\)
7.
Calculate \(\displaystyle \frac{8xy^2}{15z^3} \div \frac{2yz^2}{21 x^4}\text{.}\)
8.
Calculate \(\displaystyle \frac{14b^2}{3a^3 c^3} \div \frac{28a^2 b^3}{15c^3}\text{.}\)
9.
Calculate \(\displaystyle \frac{2 x^2 (x + 3)}{3 (x - 4)^2} \div \frac{4(x + 3)}{15 x (x - 4)^2}\text{.}\)
10.
Calculate \(\displaystyle \frac{15 (x - 3)^2 (x + 1)}{9(x + 3)^2} \div \frac{10 (x + 1)(x -3)}{3 (x + 3)^3}\text{.}\)