Chapter 5: Q14. (page 220)

Simplify
$\frac{18 x^{2}}{24 x}$

Short Answer

Expert verified

$\frac{3 x}{4}$ is the simplest form of $\frac{18 x^{2}}{24 x}$ .

Step by step solution

Step 1. Given information

Consider, the fraction $\frac{18 x^{2}}{24 x}$ provided in the question.

Step 2. Calculation

To obtain the simplest form of the fraction $\frac{18 x^{2}}{24 x}$ , it is needed to factor the numerator and denominator of provided fraction and divide out the common factors

Therefore, the obtained expression as:

$\begin{matrix} \frac{18 x^{2}}{24 x} = \frac{2 \times 3 \times 3 \times x \times x}{2 \times 2 \times 2 \times 3 \times x \times x} \\ \frac{18 x^{2}}{24 x} = \frac{3 x}{4} \end{matrix}$

Hence,

$\frac{3 x}{4}$ is the simplest form of $\frac{18 x^{2}}{24 x}$ .

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Simplify
$\frac{18 x^{2}}{24 x}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

Simplify 18x224x

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

Simplify
$\frac{18 x^{2}}{24 x}$