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Chapter 7: Q7. (page 243)

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

ztox

Short Answer

Expert verified

The simplest form isz:x=2:1

Step by step solution

01

Step 1. Given information.

According to the given values,

x=12y=10z=24

Thus,

z:x=24:12zx=2412

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312=2脳2脳3

Here GCF is2脳2脳3=12.

04

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

Here we will divide the numerator and denominator by.12

2412=24/1212/12=21

Therefore, the simplest form of the given ratio isz:x=2:1.

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