/*! 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 67 Simplify. See Section 1.3. $$ ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 67

Simplify. See Section 1.3. $$ \frac{0-6}{5-0} $$

Short Answer

Expert verified
The simplified fraction is \(-\frac{6}{5}\).

Step by step solution

01

Simplify the Numerator

The numerator of the fraction is \(0 - 6\). Subtracting 6 from 0 gives \(-6\). Therefore, the simplified numerator is \(-6\).
02

Simplify the Denominator

The denominator of the fraction is \(5 - 0\). Subtracting 0 from 5 gives 5. Therefore, the simplified denominator is 5.
03

Write the Simplified Fraction

Now that we have simplified the numerator and the denominator, the fraction becomes \(-\frac{6}{5}\). This is the simplified form of the given expression.

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
The numerator and denominator are fundamental parts of any fraction. Simply put, a **numerator** is the top number in a fraction, while a **denominator** is the bottom number. They tell us about a part-whole relationship.
For example, in the fraction \(\frac{3}{4}\):
  • The numerator is 3. It represents how many parts we are considering.
  • The denominator is 4. It shows the total number of equal parts the whole is divided into.
This structure helps us understand fractions' size and value. It tells us, in this case, we have 3 parts out of 4 available parts. These components are crucial when simplifying or performing operations on fractions.
Negative Numbers
Negative numbers are numbers less than zero, expressed with a minus sign (e.g., \-6"). They represent a value that is less than nothing or below zero, often used to indicate loss or debt.
In fractions, a negative number can be part of the numerator, denominator, or both. For example, the fraction \(-\frac{6}{5}\) has a negative numerator of -6, indicating that we are considering a negative quantity.
In mathematics, the rules of negative numbers are simple, here are some key points:
  • Subtracting a negative number is the same as adding its positive counterpart.
  • A negative times a negative equals a positive.
  • The sign of a fraction can be written in front of the numerator, denominator, or the fraction itself, but it should not change its value.
Understanding negative numbers is vital when simplifying or calculating with fractions, ensuring accurate results.
Subtraction in Fractions
Subtraction in fractions often confuses students, particularly when subtracting positive and negative numbers. It's essential to tackle the numerator and the denominator separately when simplifying subtraction problems.
Take for example the fraction \(\frac{0-6}{5-0}\):
  • The numerator is \(0-6\), which results in \-6\ by straightforward subtraction.
  • The denominator is \(5-0\), which simplifies to 5.
Once each part is simplified, the fraction becomes \(-\frac{6}{5}\). Subtraction in fractions teaches us to carefully consider each component.
Always look for opportunities to simplify when subtracting in fractions. Ensuring that each step is handled methodically helps to manage fractions effectively and accurately.

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

Find an equation of the perpendicular bisector of the line segment whose endpoints are given. \((-2,6) ;(-22,-4)\)

Forensic scientists use the following functions to find the height of a woman if they are given the length of her femur bone for her tibia bone t in centimeters. $$\begin{array}{l} {H(f)=2.59 f+47.24} \\ {H(t)=2.72 t+61.28} \end{array}$$ (IMAGE CANNOT COPY) Find the height of a woman whose tibia measures 35 centimeters.

Without graphing, find the domain of each function. $$ h(x)=\sqrt{x-17}-3 $$

The function \(A(r)=\pi r^{2}\) may be used to find the area of a circle if we are given its radius. Find the area of a circular garden whose radius is 8 feet. (Do not approximate \(\pi .\) )

Simplify and solve for \(y .\) $$ y-9=-8[x-(-4)] $$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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.