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IMPROPER FRACTION

Improper Fraction

Definition Of Improper Fraction

An improper fraction is a fraction in which the number in the numerator is greater than or equal to the number in the denominator.

Example of Improper Fraction

The following are few examples of improper fraction.
17/15, 9/1, 3/3

Video Examples: Improper fractions to mixed numbers
 

Solved Example on Improper Fraction

Ques: Chris sharedImproper Fraction of his homework with Valerie. Write this as an improper fraction. 

Choices:

A. 1/6
B. 3/2
C. 7/2
D.2/7 
Correct Answer: C

Solution:

Step 1: Improper Fraction [Original mixed number.] 
Step 2: 3+ 1/2 [Write the mixed number as a sum.] 
Step 3: Improper Fraction [Multiply the whole number by denominator and add it to the numerator.] 
Step 4: Improper Fraction [Simplify.] 
Step 5: The improper fraction is 7/2 .

Quick Summary

  • Numerator >= Denominator
  • Can be converted to mixed numbers
  • Represents a value of one or more whole units
\[ \frac{a}{b}, \text{ where } a \geq b \]

🍎 Teacher Insights

Use visual aids like fraction bars or circles to demonstrate the concept of improper fractions. Relate to real-world examples like sharing pizzas.

🎓 Prerequisites

  • Fractions
  • Numerator
  • Denominator

Check Your Knowledge

Q1: Which of the following is an improper fraction?

Q2: Convert 7/2 to a mixed number.

Frequently Asked Questions

Q: What is the difference between a proper and improper fraction?
A: A proper fraction has a numerator smaller than the denominator, while an improper fraction has a numerator greater than or equal to the denominator.

Q: Can an improper fraction be equal to a whole number?
A: Yes, if the numerator is a multiple of the denominator (e.g., 6/3 = 2).

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