/*! 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 88 Explain how to simplify a ration... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 88

Explain how to simplify a rational expression.

Short Answer

Expert verified
By factoring the numerator and denominator and canceling out common factors, the rational expression \(\frac{24x^2}{48x}\) is simplified to \(x\).

Step by step solution

01

Identify the Rational Expression

Suppose the rational expression is \(\frac{24x^2}{48x}\). The goal is to simplify this expression to its least form.
02

Factor the Numerator and Denominator

Start by factoring the numerator which is \(24x^2\). It can be factored into \(2*2*2*3*x*x\). Likewise, factor the denominator \(48x\) into \(2*2*2*2*3*x\). So, the rational expression becomes \(\frac{2*2*2*3*x*x}{2*2*2*2*3*x}\).
03

Cancel Common Factors

In this step, you can cancel out the common factors in the numerator and denominator. In our case, \(2*2*2*3*x\) can be canceled out from both numerator and denominator. After canceling out, the rational expression will be \(\frac{2x}{2}\).
04

Simplify the Left Factor

What is left is to simplify \(\frac{2x}{2}\) which will give \(x\).

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!

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

Rewrite each expression without absolute value bars. $$|-203|$$

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\left\\{-11,-\frac{5}{6}, 0,0.75, \sqrt{5}, \pi, \sqrt{64}\right\\}$$

$$\text { factor completely.}$$ $$(x-5)^{-\frac{1}{2}}(x+5)^{-\frac{1}{2}}-(x+5)^{\frac{1}{2}}(x-5)^{-\frac{3}{2}}$$

Suppose that a polynomial contains four terms. Explain how to use factoring by grouping to factor the polynomial.

Give an example of a rational number that is not an integer.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

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.