You can use the greatest common factor to simplify fractions. Since the GCF is a factor of both the numerator and the denominator we can divide both the numerator and the denominator by the GCF to produce a simplified fraction.
How do common factors work?
“Factors” are numbers we can multiply together to get another number. When we find the factors of two or more numbers, and then find some factors are the same (“common”), then they are the “common factors”.
What are factors in fractions?
Fractions can be simplified when the numerator and denominator have a common factor in them. If both the numerator and denominator have common factors, then we can cancel these factors out. For example, in the fraction 8/12, 4 is a common factor of both 8 and 12.
How do you find the factors of a fraction?
Finding factors of a fraction is found in much the same way as finding the factors of a whole number. Creating a factor tree for both the numerator and the denominator (consisting of primes) and then multiplying them together to make sure that you did not make an error is my first suggestions.
How do you find a common denominator for a fraction?
If your denominators aren’t the same, you’ll need to change the fractions so they have the same denominators. To find a common denominator, multiply each part of a fraction by the denominator of the other fraction. For example, to find a common denominator for 1/3 + 2/5, multiply the 1 and 3 by 5 and multiply the 2 and 5 by 3.
Why is the greatest common factor of a fraction 4?
In fact, the Greatest Common Factor (GCF) of this fraction is 4 because it is the LARGEST number that evenly divides the numerator and denominator. Because the numbers are small, the GCF can be determined by trial and error.
How do you get fractions of the same number?
To get equivalent fractions of any given fraction: We can multiply both the numerator as well as the denominator of the given fraction by the same number. And for division, we can divide both the numerator and the denominator of the given fraction by the same number.
