Table of contents

0. Review of Algebra4h 18m
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 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:08 minutes

Problem 65

Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 7/9-2/9

Verified step by step guidance

Identify the operation: This problem requires subtraction of two fractions with the same denominator.

Since the denominators are the same (9), you can subtract the numerators directly.

Subtract the numerators: 7 - 2.

Write the result over the common denominator: (7 - 2)/9.

Simplify the fraction if possible. In this case, the fraction is already in its simplest form.

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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.

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.

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.