Equivalent Fractions

2/3 is equivalent to 8/12
This can be shown by multiplying by 2/3 by 4/4
6/15 is equivalent to 2/5
Here we Divide 6/15 by 3/3

The two procedures of Multiplying or Dividing
by the same number TOP and BOTTOM
is useful to REDUCE FRACTIONS
or for ADDING and SUBTRACTING of fractions.

2/9 + 1/9 = 3/9
but 3/9 needs reducing so DIVIDE by 3/3
Thus, 3/9 is equivalent to 1/3

2/3 + 1/4
now we need to Multiply 2/3 by 4/4
and 1/4 is Multiplied by 3/3
Now the orginal problem becomes
8/12 + 3/12 which EQUALS 11/12
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For our next time:
Finish the LONG DIVISION PROBLEMS
and also:
Page 85 #3,4,5
Page 89 #4
Page 92 #1 thru 6
Page 93 #1 thru 6
and the POST TEST pages 101 and 102
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Why use Fractions?

A Fractions is used to discuss PART OF A WHOLE!

Suppose someone offered you some pizza.
Your answer will determine how much you get.
"Do you want pizza?"
YES, BUT HOW MUCH?
1) "ONE" - you will get a WHOLE pizza.
2) "one-half" = "1/2" will get you a half of pizza.
(ONE PIZZA CUT INTO TWO EQUAL PARTS -
YOU WILL GET ONE OF THESE PIECES)
3) "two-thirds" = "2/3" might need a picture to represent.
First ONE PIZZA will be cut into 3 EQUAL PARTS
and then you will get 2 OF THESE EQUAL PARTS.


Bythe way, if the pizza is cut into
12 equal parts and you eat 8 parts
that is the same as 2/3.












Thus, the conclusion about a fraction:
The DENOMINATOR (Bottom)
represents the number of equal
parts in which that item (PIZZA) is to be cut.
The NUMERATOR (Top) represents the number of these parts that you want to have (to consider, to focus on, to use, to ...).

4) What would 5/8 get you?
The denominator says to cut it (the "ONE WHOLES" pizza) into 8 EQUAL PARTS
and then you get the number of these EQUAL PARTS - that is in the numerator, 5.