Jamit Fractions  Lesson Contents  
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Lesson 2: Equivalent Fractions.WHAT EQUIVALENT MEANSThe word EQUIVALENT means the same as EQUAL or, more precisely, of equal value. For example, you can see that the colored part of each of the
circles below is exactly the same.
WHEN FRACTIONS ARE EQUIVALENT.Equivalent fractions are obtained by multiplying or dividing both the numerator and the denominator by the same number. (Both numerator and denominator
are multiplied by 2)
(Both numerator and denominator
are divided by 2) Example:Complete the following equivalent fractions: = SOLUTION: = = (Both numerator and denominator
are multiplied by 2) SIMPLIFYING FRACTIONSMany fractions can be reduced down and written in a simpler form. To simplify a fraction, both the numerator and denominator must be divided by the same number. This method is also called canceling down or reducing the fraction. The fraction is in the SIMPLEST FORM when it cannot be any more simplified. When you are asked to simplify or reduce down a fraction, you should always
try to simplify as much as you can to achieve the simplest form. You will do it
by dividing both numerator and denominator by their
Highest Common Factor(
or H.C.F.). Do not
worry too much about H.C.F.
now. Just keep simplifying the fraction until it cannot be simplified.
Example:Simplify SOLUTION: = = (Both sides are divided by 8, so the fraction is canceled by 8)
= = (Both sides are divided by 2, so the fraction is reduced by 2) Now the result is in the Simplest Form.


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