Hi!
To simplify or reduce a fraction, you divide both the numerator and the denominator of that fraction by their greatest common factor.
Let me clarify.
This can be better illustrated with an example. Let's suppose we have the following fraction:
[tex]\boldsymbol{\dfrac{6}{12}}[/tex]
and we want to reduce it to lowest terms.
First, let's consider this: Is there anything that both 6 and 12 can be evenly divided by? Sure, it's 2, and 3, and 6.
Let's divide both the top & bottom by 2:
[tex]\boldsymbol{\dfrac{3}{6}}[/tex]
Since the fraction is not in its simplest form, we divide the top & bottom by 3 (because both 3 and 6 are divisible by 3)
[tex]\boldsymbol{\dfrac{1}{2}}[/tex]
This fraction is in its simplest form.
Hope it helps!
Have a great rest of your day! :)
Let me know if you have any queries regarding my answer. :)
-Rosalia
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Answers & Comments
Hi!
To simplify or reduce a fraction, you divide both the numerator and the denominator of that fraction by their greatest common factor.
Let me clarify.
This can be better illustrated with an example. Let's suppose we have the following fraction:
[tex]\boldsymbol{\dfrac{6}{12}}[/tex]
and we want to reduce it to lowest terms.
First, let's consider this: Is there anything that both 6 and 12 can be evenly divided by? Sure, it's 2, and 3, and 6.
Let's divide both the top & bottom by 2:
[tex]\boldsymbol{\dfrac{3}{6}}[/tex]
Since the fraction is not in its simplest form, we divide the top & bottom by 3 (because both 3 and 6 are divisible by 3)
[tex]\boldsymbol{\dfrac{1}{2}}[/tex]
This fraction is in its simplest form.
Hope it helps!
Have a great rest of your day! :)
Let me know if you have any queries regarding my answer. :)
-Rosalia