Proper and Improper Fractions A proper fraction is one that can be represented as a decimal that eventually terminates or repeats. This means that the nu...
A proper fraction is one that can be represented as a decimal that eventually terminates or repeats. This means that the numerator and denominator have the same prime factors. For example:
1/2 is a proper fraction because 2 is a prime factor of 4.
3/4 is a proper fraction because 4 is a composite factor of 16.
1/3 is an improper fraction because 3 is not a prime factor of 9.
A proper fraction can be expressed as a decimal that eventually terminates or repeats in a finite number of digits.
Improper fractions are fractions that cannot be represented as a decimal that eventually terminates or repeats. This means that the numerator and denominator have different prime factors, or the denominator is not divisible by the numerator. For example:
1/2 is an improper fraction because 2 is a prime factor of 4.
3/4 is an improper fraction because 4 is a composite factor of 16.
4/5 is an improper fraction because 5 is not a prime factor of 20.
Improper fractions can be expressed as a decimal that repeats with a non-finite number of digits.
It's important to note that the order of the numerator and denominator does not affect the classification of a fraction as proper or improper. For example, 1/2 and 2/4 are both proper fractions