1
What is the purpose of finding the Greatest Common Factor (GCF) when simplifying fractions?
Explanation
The GCF helps in simplifying fractions by identifying the largest common factor that can divide both the numerator and denominator.
2
Which of the following is an example of a proper fraction?
Explanation
A proper fraction is one where the numerator is less than the denominator, such as 3/4.
3
What is the first step in simplifying an improper fraction?
Explanation
To simplify an improper fraction, the first step is often to convert it into a mixed number for easier understanding.
4
How do you convert a mixed number to an improper fraction?
Explanation
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator.
5
Which of the following fractions is equivalent to 2/3?
Explanation
The fraction 4/6 is equivalent to 2/3 because both can be simplified by dividing by 2.
6
What is the simplified form of the fraction 8/12?
Explanation
The GCF of 8 and 12 is 4; dividing both by 4 gives the simplified form 2/3.
7
In the process of simplifying fractions, why is it important to understand equivalent fractions?
Explanation
Understanding equivalent fractions helps in recognizing different representations of the same value, which is crucial in simplification.
8
What is the outcome of simplifying the fraction 10/15?
Explanation
The GCF of 10 and 15 is 5; dividing both by 5 simplifies it to 2/3.
9
Which method can be used to simplify fractions step-by-step?
Explanation
The step-by-step simplification process typically involves finding the GCF and dividing both the numerator and denominator.
10
What type of resources can help students practice simplifying fractions?
Explanation
Worksheets that provide step-by-step guidance are effective resources for practicing the simplification of fractions.
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