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Chapter 7: Q8. (page 243)

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

x+ytoz

Short Answer

Expert verified

The simplest form isx+y:z=11:12

Step by step solution

01

Step 1. Given information.

According to the given values,

x=12y=10z=24

Thus,

x+y:z=12+10:24x+yz=2224

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.

24=2脳2脳2脳322=2脳11

Here GCF is2.

04

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

Here we will divide the numerator and denominator by.2

2224=22/224/2=1112

Therefore, the simplest form of the given ratio is.x+y:z=11:12

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