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Time for some Calculations
Now you should be familiar with the basic concept of fractions as well as understand how simplifying and finding equivalent fraction works. Next, you
should try to calculate with fractions. The knowledge that you have acquired already will help you when doing fractional calculations as you can apply
some of the skills and concepts that you already learned about. Please share this page if you like it or found it helpful!

Example 1
This is the long method for simplifying. In this example, we can see that 8/16
are both factors of two and so we were able to simplify the fraction until we
arrived at 1/2 since 2 is not a factor of 1.
If you want to get around doing the procedure multiple times, you can just divide the
numerator and denominator by their highest common factor. As a result you can get
from 8/16 to 1/2 in one step. You should always try to use this method as it is faster.

Example 2
In this example, we are trying to simplify 9/27. In the first part of the example, we
have used the long method by identifying 3 as a common factor. This works until
we get to 1/3 as 3 is not a factor of 1. Since there is no common factor of 1 and 3,
1/3 is the fraction in its simplest form.
In the second part of the example, we have used the short method again. by identifying
that 9 is the highest common factor of 9 and 27, we were able to get from 9/27 to 1/3 in
one step by dividing both the numerator and the denominator by 9.

Example 1
In this first example, you can see 5 fractions and all of them are equal
to 1/4. The easiest way to find an equivalent fraction is to use
multiplication or division. Just multiply or divide, both the numerator
and denominator, by the same number and you should get an equivalent fraction.

Example 1
In the second example, there are again 5 equivalent fractions (all equal
to 2/3). However, this time we have used a different method. Instead of
always multiplying the fraction by 2, we have only taken the first
fraction (2/3) and multiplied it by 2,3,4 and 5. This gives you different answers than just doubling
the fraction every time.

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Chapter 3.1: Learning Outcomes
Students will be able to simplify fractions by dividing by a common factor
of the numerator and denominator!
Students will be able to find equivalent fractions by multiplying or dividing
the numerator and denominator by the same number!
Students will understand the link between simplifying and finding
equivalent fractions!

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