Section 18.3 Deliberate Practice: Adding and Subtracting 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 multiplication for the common denominator step.
Try to use the least common denominator rather than applying the general formula.
Present your work legibly.
Worksheet Worksheet
Instructions: Perform the indicated calculation..
1.
Calculate \(\displaystyle \frac{7}{12} + \frac{11}{18}\text{.}\)
2.
Calculate \(\displaystyle \frac{13}{10} - \frac{7}{25}\text{.}\)
3.
Calculate \(\displaystyle \frac{5x}{4y} + \frac{8y}{3x}\text{.}\)
4.
Calculate \(\displaystyle \frac{4a}{3b^2} - \frac{2}{7ab}\text{.}\)
5.
Calculate \(\displaystyle \frac{6}{5p^2q} + \frac{2q}{3p}\text{.}\)
6.
Calculate \(\displaystyle \frac{4}{7x^2 y} - \frac{3x}{2y^2}\text{.}\)
7.
Calculate \(\displaystyle \frac{3n^2}{m^3} + \frac{4m}{3n^2}\text{.}\)
8.
Calculate \(\displaystyle \frac{4}{xy} + \frac{3}{x^2z}\text{.}\)
9.
Calculate \(\displaystyle \frac{5a}{3b^2 c^3} - \frac{4c}{7b^2}\text{.}\)
10.
Calculate \(\displaystyle \frac{3mn}{5p^2} + \frac{5m^2}{8n^2 p}\text{.}\)