Simplify. (-(4)/(7))((7)/(4))

Name: Problem 22, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-18T20:09:22-08:00
Duration: 23 s
Channel: Julie Silva
Description: Simplify. (-(4)/(7))((7)/(4))

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Key Concepts

Multiplication of Fractions

This concept involves multiplying the numerators together and the denominators together when dealing with fractions. It is a fundamental arithmetic operation that applies to all rational numbers and forms the basis for more complex algebraic manipulations.

Cancellation of Common Factors

Cancellation is the process of simplifying fractions by removing common factors that appear in both the numerator and the denominator. This concept helps reduce expressions to their simplest form, making further computations easier.

Multiplicative Inverse

The multiplicative inverse of a number is what you multiply that number by to obtain 1. Recognizing when two numbers are multiplicative inverses can simplify expressions quickly, as their product equals 1, making them a valuable tool in the simplification process.

Sign Operations

Sign operations are crucial when multiplying numbers, particularly when one or more factors are negative. The rules governing the multiplication of positive and negative numbers ensure that the overall sign of the product is correctly determined.

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