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

1:21 minutes

Problem 67a

Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 13/15 - 3/15

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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 share a common denominator, which simplifies the process of combining them.

Common Denominator

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for straightforward addition or subtraction. When fractions have the same denominator, you can directly add or subtract the numerators while keeping the denominator unchanged. In the given question, both fractions have a denominator of 15, making it easy to perform the operation.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. Reducing fractions to their lowest terms is important for clarity and simplicity. After performing the operation in the question, it may be necessary to simplify the result to ensure it is presented in its simplest form.