A fraction is said to be “irreducible” if the numerator and denominator are relatively prime, i.e. if the numerator and denominator have no common divisor. For example, the fraction 2/3 is irreducible, whereas the fraction 4/6 is “reducible” (and in fact it can be reduced to 2/3). 1.Consider the set of fractions {}. How many of these fractions are irreducible? 2. Consider the set of fractions {}. How many of these fractions are irreducible?
A fraction is said to be “irreducible” if the numerator and denominator are relatively prime, i.e. if the numerator and denominator have no common divisor. For example, the fraction 2/3 is irreducible, whereas the fraction 4/6 is “reducible” (and in fact it can be reduced to 2/3).
1.Consider the set of fractions {}.
How many of these fractions are irreducible?
2. Consider the set of fractions {}.
How many of these fractions are irreducible?
Introduction -
Reducible -Reducible fraction is a fraction that has some common factor and can be converted into simplest form by cancelling out that common factor . We need to reduce the fraction by dividing both numerator and denominator by a common factor . No common factor , cannot be reducible.
Irreducible - An irreducible fraction is a fraction in which numerator and denominator are co-primes . i.e. they have no other common divisor other than 1 .
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