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EQUIVALENT HALVES
WHAT ARE SOME FRACTIONS THAT ARE
EQUIVALENT TO ONE-HALF?
n-split
•WE HAVE FOUND THAT THE TERM N-SPLIT IS HELPFUL IN
DESCRIBING WHAT WE DO TO THE MODEL FOR A
FRACTION TO GET A MODEL FOR AN EQUIVALENT
FRACTION WITH A GREATER NUMERATOR AND
DENOMINATOR.
•FOR EXAMPLE, WE 2-SPLIT ½ TO GET
.
1/2
2/4 = 1/2
We 2-split ½ to make
3/6 = 1/2
We 3-split ½ to make 3/6
4/8 = 1/2
We 4-split ½ to make 4/8
How will we get 5/10?
MATH TALK
1/2 = 8/16
We would 8-split ½ to make 8/16
This is the same as the following:
1 X 8 = 8
2 X 8 = 16
MATH TALK CONTINUED
1/2 = 100/200
We would 100-split ½ to make 100/200
This is the same as the following:
1 X 100 = 100
2 X 100 = 200
We can make equivalent
fractions for ½ by using any
multiplier!
Fractions equivalent to 2/3
1/3 = 2/6
1/3 = 3/9
2 X
2
3
2 = 6
X
=
2 X
3 =
3
3 =
X
9
Unsimplifying
You can unsimplify a fraction by multiplying the numerator and denominator
by the same number to make more but smaller unit fractions.
Whatever you multiply the bottom by, you need to do the same to the top and
vice versa!
1
x
=
2
x
= 12
2 x what = 12 ?
THINK ABSTRACTLY
• How many sixths does it take to make 1/3
• How many sixths does it take to make 2/3
• How can 4/6 be equal to 2/3 when 4/6 has
greater numbers than 2/3
CIRCLE THE UNIT FRACTIONS UP TO 2/3.
Into how many equal parts is 2/3 split to make twelfths?
CIRCLE THE UNIT FRACTIONS UP TO 2/3.
Into how many equal parts is 2/3 split to make fifteenths?
CIRCLE THE UNIT FRACTIONS UP TO 2/3.
Into how many parts is 1/3 split to make eighteenths?
REAL-WORLD PROBLEMS
Henri needs to make 2/3 of is free throws
in order to make the basketball team.
If he throws 12 times, how many baskets
does he need?
If he throws 9 times, how many baskets
does he need?
If he throws 15 times, how many baskets
does he need?