Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Exponents
1:08 minutes
Problem 65c
Textbook Question
Textbook QuestionAdd or subtract as indicated. Write answers in lowest terms as needed. 7/9-2/9
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Fractions
Fractions represent a part of a whole and consist of a numerator (the top number) and a denominator (the bottom number). Understanding how to manipulate fractions, including addition and subtraction, is essential for solving problems involving them. In this case, both fractions have the same denominator, which simplifies the process.
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Radical Expressions with Fractions
Common Denominator
A common denominator is a shared multiple of the denominators of two or more fractions, allowing for their addition or subtraction. When fractions have the same denominator, as in the given problem, you can directly subtract the numerators while keeping the denominator unchanged. This concept is crucial for performing operations on fractions efficiently.
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02:58
Rationalizing Denominators
Lowest Terms
Writing a fraction in lowest terms means simplifying it to its simplest form, where the numerator and denominator have no common factors other than 1. This is important for clarity and accuracy in mathematical communication. After performing operations on fractions, it is often necessary to reduce the result to lowest terms to ensure it is presented in the most concise way.
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