Questions and Answers
What is a proper fraction?
What is an improper fraction?
What is a mixed number?
A whole number and a proper fraction
Define a rational number.
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The value of a fraction does not change if its numerator and its denominator are multiplied by the same number. This is known as the __________ Law of Fractions.
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What is the reciprocal of a non-zero number x?
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Study Notes
Fraction Types
- Proper Fraction: The numerator is less than the denominator (e.g., 3/4).
- Improper Fraction: The numerator is greater than or equal to the denominator (e.g., 5/4 or 4/4).
- Mixed Number: A combination of a whole number and a proper fraction (e.g., 2 1/4).
Rational Numbers
- Defined as any number that can be expressed in the form a/b, where both a and b are integers, and b is not zero.
Fundamental Law of Fractions
- States that multiplying both the numerator and denominator of a fraction by the same non-zero number does not change its value. For example, a/b = ac/bc, based on the principle that c/c equals 1.
Reciprocals
- The reciprocal of a non-zero number x is represented as 1/x, known as its multiplicative inverse.
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Description
Test your knowledge on types of fractions, rational numbers, and the fundamental laws governing them. This quiz covers proper, improper fractions, mixed numbers, and the concept of reciprocals. Perfect for students looking to reinforce their understanding of fractions!
