Chapter 7: Q12. (page 243)

. $x = 12, y = 10, a n d z = 24$ Write each ratio in simplest form.
$x : y : z$

Short Answer

Expert verified

The simplest form is $x : y : z = 6 : 5 : 12$

Step by step solution

Step 1. Given information.

According to the given values,

$\begin{array}{l} x = 12 \\ y = 10 \\ z = 24 \end{array}$

Thus,

$\begin{array}{l} \frac{x}{y} = \frac{12}{10} \\ & \\ \frac{y}{z} = \frac{10}{24} \end{array}$

Step 2. Concept Used.

To write the fraction in simplest form, divide the numerator and denominator with the GCF (Greatest Common Factor).

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

$\begin{array}{l} 12 = 2 \times 2 \times 3 \\ 10 = 2 \times 5 \\ 24 = 2 \times 2 \times 2 \times 3 \end{array}$

Here GCF is2.

Step 4. Let’s divide the numerator and denominator with the GCF.

Here we will divide the numerator and denominator by2.

$\begin{matrix} \frac{x}{y} = \frac{12 / 2}{10 / 2} \\ = \frac{6}{5} \end{matrix}$

And,

$\begin{matrix} \frac{y}{z} = \frac{10 / 2}{24 / 2} \\ = \frac{5}{12} \end{matrix}$

Therefore, the simplest form of the given ratio is. $x : y : z = 6 : 5 : 12$

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.

. $x = 12, y = 10, a n d z = 24$ Write each ratio in simplest form.
$x : y : z$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

Step 4. Let’s divide the numerator and denominator with the GCF.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

.x=12,y=10,andz=24Write each ratio in simplest form.x:y:z

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

Step 4. Let’s divide the numerator and denominator with the GCF.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

. $x = 12, y = 10, a n d z = 24$ Write each ratio in simplest form.
$x : y : z$