a) The easiest way is to check if both the numerator and denominator are prime numbers.
A number is said to be PRIME if its factors are 1 and itself. Example 5 is a prime number because its factors are 1 and 5 only.
A number is said to be COMPOSITE if it has several pairs of factors. Example 4 is a composite number because it has two pairs of factors: 1×2 and 2×2.
7/11are in the lowest term because both the numerator and denominator are prime.
b) Check also if either the numerator or denominator is a prime that is ODD. Then check if the denominator is a multiple of its numerator:
5/8are in the lowest term because the numerator is prime and odd. None of the denominators is a multiple of its numerator
in the lowest term because the numerator is prime and odd. None of the denominators is a multiple of its numerator8 is not a multiple of 5 (5, 10, 15...)
But nothing beats the conventional Greatest Common Factor (GCF). By dividing the numerator and denominator by its GCF, we can be sure whether the fraction is in its lowest term [or not].
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5/8
7/11
a) The easiest way is to check if both the numerator and denominator are prime numbers.
A number is said to be PRIME if its factors are 1 and itself. Example 5 is a prime number because its factors are 1 and 5 only.
A number is said to be COMPOSITE if it has several pairs of factors. Example 4 is a composite number because it has two pairs of factors: 1×2 and 2×2.
7/11 are in the lowest term because both the numerator and denominator are prime.
b) Check also if either the numerator or denominator is a prime that is ODD. Then check if the denominator is a multiple of its numerator:
5/8 are in the lowest term because the numerator is prime and odd. None of the denominators is a multiple of its numerator
in the lowest term because the numerator is prime and odd. None of the denominators is a multiple of its numerator8 is not a multiple of 5 (5, 10, 15...)
But nothing beats the conventional Greatest Common Factor (GCF). By dividing the numerator and denominator by its GCF, we can be sure whether the fraction is in its lowest term [or not].