Select the best answer for the question.
6. Which of the following is an example of an improper fraction?
A. $3 / 10$
B. $10 / 3$
C. $4 / 5$
D. $6 / 7$
Answer (1)
An improper fraction has a numerator greater than or equal to its denominator.
Examine each option: A. 10 3 (proper), B. 3 10 (improper), C. 5 4 (proper), D. 7 6 (proper).
Identify the fraction where the numerator is greater than the denominator.
The answer is 3 10 .
Explanation
Understanding Improper Fractions We need to identify which of the given fractions is an improper fraction. An improper fraction is one where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Let's examine each option.
Analyzing Option A Option A: 10 3 . Here, the numerator is 3 and the denominator is 10. Since 3 < 10 , this is a proper fraction.
Analyzing Option B Option B: 3 10 . Here, the numerator is 10 and the denominator is 3. Since 3"> 10 > 3 , this is an improper fraction.
Analyzing Option C Option C: 5 4 . Here, the numerator is 4 and the denominator is 5. Since 4 < 5 , this is a proper fraction.
Analyzing Option D Option D: 7 6 . Here, the numerator is 6 and the denominator is 7. Since 6 < 7 , this is a proper fraction.
Conclusion Therefore, the improper fraction among the given options is 3 10 .
Examples
Imagine you're baking a cake and the recipe calls for 4 3 cup of flour. This is a proper fraction because you need less than a full cup. Now, suppose you're making cookies and the recipe requires 2 5 cups of sugar. This is an improper fraction, meaning you need more than two full cups of sugar. Improper fractions often appear when dealing with quantities larger than a single whole unit, like multiple batches of a recipe or measuring lengths that exceed a standard ruler.
