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Chapter 7: Q13. (page 243)

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

z:x:y

Short Answer

Expert verified

The simplest form isz:x:y=12:6:5

Step by step solution

01

Step 1. Given information.

According to the given values,

x=12y=10z=24

Thus,

zx=2412&xy=1210

02

Step 2. Concept Used.

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

03

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

12=2脳2脳310=2脳524=2脳2脳2脳3

Here GCF is2.

04

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

Here we will divide the numerator and denominator by12.

zx=24/1212/12=21

And

Here we will divide the numerator and denominator by2.

xy=12/210/2=65

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

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