/*! 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 62 Simplify. $$ \frac{8-8}{1247... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 62

Simplify. $$ \frac{8-8}{1247} $$

Short Answer

Expert verified
0

Step by step solution

01

Identify the Numerator

First, focus on the numerator of the fraction, which is given as \(8 - 8\).
02

Simplify the Numerator

Calculate the result of the expression in the numerator: \(8 - 8 = 0\). Therefore, the numerator simplifies to 0.
03

Simplify the Entire Fraction

Now, rewrite the fraction with the simplified numerator: \(\frac{0}{1247}\). Any fraction with a numerator of 0 is equal to 0, regardless of the value in 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.

Numerator and Denominator
Understanding the terms numerator and denominator is essential to simplifying fractions.
The numerator is the top part of the fraction and represents the number of parts we have.
The denominator is the bottom part of the fraction and tells us into how many parts the whole is divided.
For example, in the fraction \(\frac{3}{4}\), 3 is the numerator, and 4 is the denominator. These two components help define the fraction.

In the given exercise, the numerator is the expression \(8 - 8\). So, we focus first on simplifying that.
Basic Arithmetic Operations
Basic arithmetic operations help us perform calculations. They include addition, subtraction, multiplication, and division.
In the exercise provided, we used subtraction to simplify the numerator.

Subtraction involves taking one quantity away from another. For instance, subtracting 8 from 8 can be written in a math equation as \(8 - 8 = 0\).

Once we've simplified the numerator using arithmetic operations, we can then simplify the fraction further by rewriting the fraction with the simplified numerator, making the rest of the process much easier.
Zero Property of Fractions
The zero property of fractions states that any fraction with a numerator of zero is equal to zero, regardless of the value of the denominator, as long as the denominator is not zero.

For example, fractions like \(\frac{0}{5}\), \(\frac{0}{100}\), and \(\frac{0}{1247}\) all equal zero.
This property is critical to understanding fractions and helps in simplifying them.

In our exercise, after simplifying our numerator to 0, the fraction \(\frac{8-8}{1247}\) became \(\frac{0}{1247}\), and using the zero property of fractions, we know that equals 0.

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

Simplify. $$ \frac{18}{24} $$

Determine whether the second number is a factor of the first. $$ 625 ; 25 $$

Find the prime factorization of each number. $$ 484 $$

List all the factors of each number. $$ 16 $$

For Exercises \(17-24\), test each number for divisibility by \(2,3,4,5,6,8,9,\) and 10 . $$ 143,507 $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

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.