If the GCF or greatest common factor is bigger than 1, then the fraction can be reduced. To review, the greatest common factor is the term given to the largest factor that is shared between two numbers.
What are the common factor in the numerator and denominator?
To simplify completely, divide both numerator and denominator by the 60. Example: Write the fraction in simplest terms. We find the greatest common factor for the numerator and the denominator: 78 = 2 · 3 · 13 and 84 = 22 · 3 · 7 so the GCF(78, 84) = 2 · 3 = 6.
When does the numerator and denominator have only 1 common factor?
When the numerator and denominator have only 1 as a common factor Yeah, that tends to happen sometimes. When a fraction is reduced, or simplified, fraction. A fraction in which the greatest common factor of the numerator and the denominator is 1 is a reduced, or simplified, fraction.
How to find the greatest common factor of a fraction?
Finding the Greatest common factor (GCF) of both the numerator and denominator of a fraction. Both the denominator and numerator are divided by the GCF. Now the denominators have a common number. 1. A person is carrying 48 blue balls and 9 red balls. a. Write, in simplified form, the fraction of the balls that are blue.
When is the denominator greater than the numerator?
C.the numerator and denominator The denominator of a fraction in the simplest form is greater than the numerator by 1. If 4 is added to the numerator, and 3 is subtracted from the denominator, then the fraction itself is increased by 2 1/6 .
Which is the best way to get a common denominator?
One way to get a common denominator is to multiply the numerator and denominator of each fraction by the denominator of the other. Another way to get a common denominator is to calculate the lowest common multiple (LCM) of the denominators, as we have discussed.