FRAME 2-14.
Solution to
Frame 2-13.
If two fractions have different denominators, see if the larger denominator
is a multiple of the smaller. That is, can the smaller denominator be
multiplied by a whole number and the product be the larger denominator?
1
2
=
If so, then the larger denominator can be the common denominator.
4
8
8 is a multiple of 4 because 4 x
= 8.
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FRAME 2-15.
Solution to
Frame 2-14.
Therefore, :
3
1
3
2
3+2
?
+
=
+
=
=
8
4
8
8
8
8
4x 2 = 8
[Adding 2/8 is the same as adding 1/4 since both are forms of the same
number (value).]
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FRAME 2-16.
Solution to
Frame 2-15.
You know that if you multiply a number by "1," then the product is the
original number. For example, 4 x 1 = 4. The same is true if the number
5
is a fraction. For example: 1 X 1 = 1
8
2
2
The number "1" has several forms, or names.
Some are 1 , 2 , 3, and 4.
1 2 3
4
In each case, the numerator and the denominator are the same.
Multiplying a fraction by one of the forms of "1" allows you to change the
appearance of the fraction so that it has a different denominator. Now
let's find some different names (forms) of the fraction 1/2.
(Remember, multiplying a fraction by "1" [regardless of the form of "1"
you use] yields a fraction whose actual value has not changed, even if its
form has changed.)
1
2
2 ;
1
3
3 ;
1
10
10 ;
1
3473 = ?
X
=
X
=
X
=
X
2
2
4
2
3
6
2
10
20
2
3473
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MD0900
2-7