/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 3 Identify the numerator and the d... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 3

Identify the numerator and the denominator for each fraction. $$\frac{8}{9}$$

Short Answer

Expert verified
Numerator: 8, Denominator: 9

Step by step solution

01

- Identify the Fraction Structure

A fraction consists of a numerator and a denominator. The numerator is the number above the fraction line, and the denominator is the number below the fraction line.
02

- Determine the Numerator

Locate the number above the fraction line in the given fraction \(\frac{8}{9}\). The numerator is 8.
03

- Determine the Denominator

Locate the number below the fraction line in the given fraction \(\frac{8}{9}\). The denominator is 9.
04

- Verify the Answer

Check that the identified numerator and denominator correctly match the fraction. For \(\frac{8}{9}\), 8 is the numerator and 9 is the denominator.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding the Numerator
The numerator is a key part of any fraction. It is the number found above the fraction line. The numerator indicates how many parts of a whole are being considered. For example, in the fraction \(\frac{8}{9}\), 8 is the numerator. This tells us that out of 9 equal parts, 8 parts are being taken or used.

Think of the numerator as the 'counter'. It answers the question, 'how many?'. If the numerator is 8, that means we are looking at 8 parts.

To identify the numerator in any fraction, simply look above the fraction line.
Understanding the Denominator
The denominator is just as important as the numerator in a fraction. It is the number located below the fraction line. The denominator shows the total number of equal parts the whole is divided into. In the fraction \(\frac{8}{9}\), the denominator is 9. This means the whole is divided into 9 equal parts.

The denominator acts like the 'divider'. It answers the question, 'into how many parts?'. If the denominator is 9, the whole is divided into 9 parts.

Always look below the fraction line to find the denominator. Without the denominator, we wouldn't know how many parts make up the whole.
Understanding the Fraction Structure
A fraction consists of two main components: the numerator and the denominator. These two numbers are separated by a fraction line. This line is also known as the division line or the vinculum.

The structure of a fraction can be remembered easily by focusing on these points:
  • The numerator is above the line and tells us how many parts are being considered.
  • The denominator is below the line and tells us into how many equal parts the whole is divided.
  • The fraction line separates these two components and signifies division.
For instance, in \(\frac{8}{9}\), 8 is the numerator and 9 is the denominator. So, 8 parts out of a total of 9 equal parts are being considered.

Understanding the structure of a fraction helps in grasping basic concepts in mathematics and solving problems involving fractions.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Write three fractions equivalent to \(\frac{3}{4}\)

a. What fraction of the alphabet is made up of vowels? (Include the letter \(y\) as a vowel, not a consonant.) b. What fraction of the alphabet is made up of consonants?

Convert the improper fraction to a mixed number. $$-\frac{39}{5}$$

Convert the mixed number to an improper fraction. $$-21 \frac{3}{8}$$

True or false? Suppose \(m\) and \(n\) are nonzero numbers, where \(m>n .\) Then \(\frac{n}{m}\) is a proper fraction.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.