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2. Which one of the following examples represents a proper fraction?

A. [tex]\frac{15}{22}[/tex]

B. [tex]\frac{12}{9}[/tex]

C. [tex]\frac{8}{8}[/tex]

D. [tex]\frac{3}{2}[/tex]


Sagot :

To determine which of the following examples represents a proper fraction, we need to understand what a proper fraction is. A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number).

Let's examine each choice:

1. [tex]\( \frac{15}{22} \)[/tex]
- Numerator: 15
- Denominator: 22
- Since 15 < 22, this is a proper fraction.

2. [tex]\( \frac{12}{9} \)[/tex]
- Numerator: 12
- Denominator: 9
- Since 12 > 9, this is not a proper fraction.

3. [tex]\( \frac{8}{8} \)[/tex]
- Numerator: 8
- Denominator: 8
- Since 8 = 8, this is not a proper fraction. This is called an improper fraction because the numerator is equal to the denominator.

4. [tex]\( \frac{3}{2} \)[/tex]
- Numerator: 3
- Denominator: 2
- Since 3 > 2, this is not a proper fraction.

Given the analysis, the fraction that represents a proper fraction among the choices is:
A. [tex]\( \frac{15}{22} \)[/tex]

Thus, the correct answer is:
1. [tex]\( \frac{15}{22} \)[/tex]