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In a proper fraction, the numerator is ________ the denominator.

  • a)
    Less than

  • b)
    Greater than

  • c)
    Similar

  • d)
    None of these

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a proper fraction, the numerator is ________ the denominator.a)Less...
In a proper fraction, the numerator is always less than the denominator.

Examples of proper fractions include: 

1/2, 9/13 and 1/1001.
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Most Upvoted Answer
In a proper fraction, the numerator is ________ the denominator.a)Less...
In a proper fraction, the numerator is always less than the denominator. Examples of proper fractions include 1/2, 9/13 and 1/1001.
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In a proper fraction, the numerator is ________ the denominator.a)Less...
Numerator and Denominator in a Proper Fraction

A proper fraction is a fraction where the numerator is less than the denominator. Let's understand this concept in detail.

Understanding Numerator and Denominator
- Numerator: The numerator is the top number in a fraction. It represents the number of equal parts we have.
- Denominator: The denominator is the bottom number in a fraction. It represents the total number of equal parts in a whole.

Proper Fraction Definition
- A proper fraction is a fraction where the numerator is always less than the denominator.

Example:
Let's take an example to understand this concept further.
- Consider the fraction 3/5.
- Here, the numerator is 3, and the denominator is 5.
- Since the numerator (3) is less than the denominator (5), this fraction is a proper fraction.

Visualization of Proper Fraction
One way to visualize a proper fraction is by representing it using a visual model like a fraction bar or a circle divided into parts.

Fraction Bar:
- In a fraction bar, the numerator is represented above the line, and the denominator is represented below the line.
- If the numerator is smaller than the denominator, it means that the shaded or colored part of the fraction is smaller than the whole.

Circle Model:
- In a circle model, the numerator represents the number of equal parts shaded or colored, and the denominator represents the total number of equal parts in the whole circle.
- When the numerator is smaller than the denominator, it means that the shaded or colored part is less than the whole circle.

Summary:
In a proper fraction, the numerator is always less than the denominator. This can be understood by visualizing the fraction using a fraction bar or a circle model.
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