Knowing the greatest common factor (GCF) of 12 and 42, which is 6, allows you to divide both the numerator and the denominator by 6 directly. This immediately yields the simplest form 2/7, bypassing intermediate steps like dividing by 2 first.
Conditions: The fraction is 12/42.; The GCF of 12 and 42 is known to be 6.
Knowing the greatest common factor (GCF) of 12 and 42, which is 6, allows you to divide both the numerator and the denominator by 6 directly. This immediately yields the simplest form 2/7, bypassing intermediate steps like dividing by 2 first.
Conditions: The fraction is 12/42.; The GCF of 12 and 42 is known to be 6.
The greatest common factor is useful for simplifying fractions. Dividing both the numerator and the denominator by their GCF reduces the fraction to its simplest form in one step, where the numerator and denominator have no common positive divisor greater than 1.
Conditions: The fraction has a positive-integer numerator and denominator.; The denominator is nonzero.
The greatest common factor is useful for simplifying fractions. Dividing both the numerator and the denominator by their GCF reduces the fraction to its simplest form in one step, where the numerator and denominator have no common positive divisor greater than 1.
Conditions: The fraction has a positive-integer numerator and denominator.; The denominator is nonzero.
It means that the numerator 2 and the denominator 7 have no common positive divisor greater than 1. Their greatest common factor is 1, so the fraction cannot be reduced any further.
Conditions: The fraction is 2/7.; The numerator and denominator are positive integers.
It means that the numerator 2 and the denominator 7 have no common positive divisor greater than 1. Their greatest common factor is 1, so the fraction cannot be reduced any further.
Conditions: The fraction is 2/7.; The numerator and denominator are positive integers.