Table of contents

0. Review of College Algebra4h 43m
1. Measuring Angles40m
2. Trigonometric Functions on Right Triangles2h 5m
3. Unit Circle1h 19m
4. Graphing Trigonometric Functions1h 19m
5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
6. Trigonometric Identities and More Equations2h 34m
7. Non-Right Triangles1h 38m
8. Vectors2h 25m
9. Polar Equations2h 5m
10. Parametric Equations1h 6m
11. Graphing Complex Numbers1h 7m

0. Review of College Algebra

Solving Linear Equations

Trigonometry

0. Review of College Algebra

Solving Linear Equations

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2:17 minutes

Problem 57

Textbook Question

Find each product or quotient where possible. See Example 2.-4⁄5-3⁄5

Verified step by step guidance

Identify the operation to be performed: multiplication of two fractions.

Multiply the numerators: \(-4 \times -3\).

Multiply the denominators: \(5 \times 5\).

Simplify the resulting fraction if possible.

Consider the signs: multiplying two negative numbers results in a positive product.

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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, subtraction, multiplication, and division, is essential for solving problems involving them. In this context, recognizing how to handle negative fractions is also crucial.

Multiplication of Fractions

To multiply fractions, you multiply the numerators together and the denominators together. For example, multiplying -4/5 by -3/5 involves calculating (-4 * -3) for the numerator and (5 * 5) for the denominator, resulting in a new fraction. This concept is fundamental for finding products of fractions in the given question.

Division of Fractions

Dividing fractions involves multiplying by the reciprocal of the divisor. For instance, to divide -4/5 by -3/5, you would multiply -4/5 by the reciprocal of -3/5, which is -5/3. This process is essential for understanding how to find quotients of fractions and is a key operation in the problem presented.