Flashcards on Understanding and Operating with Fractions
Understanding and Operating with Fractions
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Fractions
20 cards
Card 1
Question: What is a fraction?
Answer: A fraction represents a part of a whole and is written with a numerator (the top part) and a denominator (the bottom part).
Card 2
Question: In the fraction 3/4, what do the numerator and denominator indicate?
Answer: The numerator (3) indicates how many parts we are considering; the denominator (4) indicates how many equal parts the whole is divided into.
Card 3
Question: How is a proper fraction written, and what example shows a part less than the whole?
Answer: A proper fraction has a numerator smaller than its denominator; example: 2/5.
Card 4
Question: What is an improper fraction, and what example illustrates it?
Answer: An improper fraction has a numerator greater than or equal to its denominator; example: 7/4.
Card 5
Question: What is a mixed number? Give an example.
Answer: A mixed number combines a whole number and a proper fraction; example: 1 3/4.
Card 6
Question: How do you convert the improper fraction 7/4 to a mixed number?
Answer: Divide 7 by 4, which gives 1 with a remainder of 3, so 7/4 = 1 3/4.
Card 7
Question: How do you convert the mixed number 2 1/3 to an improper fraction?
Answer: Multiply 2×3 = 6; add the numerator 1 → 7; place over 3 → 7/3.
Card 8
Question: If you have a pizza divided into 8 slices and you eat 3, what fraction did you eat?
Answer: You ate 3/8 of the pizza.
Card 9
Question: How do you know if two fractions are equivalent (for example, 1/2 and 2/4)?
Answer: They are equivalent if they represent the same part of the whole; 1/2 = 2/4 because multiplying or dividing the numerator and denominator by the same
Card 10
Question: How do you simplify the fraction 4/8?
Answer: Divide the numerator and denominator by their GCF (4): 4/8 = (4÷4)/(8÷4) = 1/2.