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

College Algebra

0. Review of Algebra

Exponents

1:11 minutes

Problem 54b

Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed.2/9 + 5/9

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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). To add or subtract fractions, they must have a common denominator, which allows for the direct addition or subtraction of the numerators while keeping the denominator the same.

Common Denominator

A common denominator is a shared multiple of the denominators of two or more fractions. When adding or subtracting fractions, finding a common denominator is essential to ensure that the fractions can be combined correctly. In the case of 2/9 and 5/9, the common denominator is already 9.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). This ensures that the fraction is expressed in its simplest form, making it easier to understand and work with.