0
Describe how finding the greatest common factor of the numerator and denominator of a fraction can help reduce the fraction?
Well, honey, finding the greatest common factor of the numerator and denominator is like finding that one friend who always has your back. By identifying the largest number that both the top and bottom can be divided by, you can simplify the fraction to its lowest terms. It's like decluttering your closet - getting rid of the unnecessary stuff to make things simpler and more efficient.
Still curious? Ask our experts.
Chat with our AI personalities
Vivi
Coach
EzraFinding the greatest common factor (GCF) of the numerator and denominator of a fraction allows us to simplify the fraction by dividing both the numerator and denominator by this common factor. By doing so, we can reduce the fraction to its simplest form without changing its overall value. This process is essential in mathematics to work with fractions efficiently and accurately.
5/7 is a fraction in its simplest form. To create an equivalent fraction it is necessary to multiply both the numerator and the denominator by the same integer. The opposite is also true. To reduce an equivalent fraction to its simplest form, it is necessary to divide both the numerator and the denominator by the same integer.
20/28 is an equivalent fraction of 5/7. It is possible to reduce 20/28 to 10/14 by dividing both the numerator and the denominator by 2, but that is not the simplest form. 10/14 can be reduced to 5/7 by dividing both the numerator and the denominator by 2 again. To ensure that an equivalent fraction is reduced to its simplest form, it is necessary to divide by the largest factor that is part of both of them. Another term for this the Greatest Common Factor, or GCF.
Add your answer:
Earn +20 pts
What is the form of a fraction when the greatest common factor of the numerator and the denominator is one?
When a the GCF of the numerator and denominator of a fraction is 1, the fraction is in its simplest form.
When a fraction cannot be simplified what must be true about the greatest common factor of the numerator and denominator?
It is 1.
What is the greatest common factor of any fraction in lowest terms?
1 is the greatest common factor of any fraction in lowest terms.
What is 0.929 as a fraction?
To convert a decimal to a fraction, you can write the decimal as a fraction with the decimal as the numerator and a power of 10 as the denominator. In this case, 0.929 can be written as 929/1000. To simplify this fraction, you can divide both the numerator and denominator by their greatest common factor, which in this case is 1. Therefore, 0.929 as a fraction is 929/1000.
What is the GCF of the numerator denominator?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. When applied to a numerator and a denominator, it is a way to reduce equivalent fractions to their simplest form. The GCF of 6 and 9 is 3. If you divide 6 and 9 by 3, you get 2 and 3. 6/9 = 2/3 The GCF of 2 and 3 is 1. If the GCF of a numerator and a denominator is 1, the fraction is in its simplest form.
