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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
Chapter 1, Problem 1

In the fraction 5/8, 5 is the numerator and 8 is the denominator.

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1
Identify the components of the fraction. In a fraction written as \(\frac{a}{b}\), \(a\) is called the numerator and \(b\) is called the denominator.
Look at the given fraction \(\frac{5}{8}\). Here, the number on top is 5 and the number on the bottom is 8.
Recognize that the numerator represents how many parts we have, while the denominator represents how many equal parts the whole is divided into.
Therefore, in the fraction \(\frac{5}{8}\), 5 is the numerator, indicating 5 parts, and 8 is the denominator, indicating the whole is divided into 8 equal parts.
This understanding helps in interpreting fractions and performing operations such as addition, subtraction, multiplication, and division with fractions.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Numerator

The numerator is the top number in a fraction that indicates how many parts of the whole are being considered. In the fraction 5/8, the numerator is 5, meaning five parts out of the total parts represented by the denominator.
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Denominator

The denominator is the bottom number in a fraction that shows the total number of equal parts the whole is divided into. In 5/8, the denominator is 8, indicating the whole is split into eight equal parts.
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Fraction Representation

A fraction represents a part of a whole or a ratio between two numbers, with the numerator over the denominator. Understanding how fractions express division and parts of a whole is essential for interpreting and working with them.
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