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Which quantity is proportional to [tex]\frac{16}{4}[/tex]?

Check all that apply:

A. [tex]\frac{64}{16}[/tex]

B. [tex]\frac{6}{1}[/tex]

C. [tex]\frac{5}{1}[/tex]

D. [tex]\frac{48}{12}[/tex]

E. [tex]\frac{4}{1}[/tex]

Answer :

we know that

16/4-----------> 8/2---------> 4/1
so
case 1)
64/16--------> 32/8-----> 16/4------> 8/2------> 4/1
the quantity (64/16) is proportional to 16/4

case 2)
6/1 is not 4/1
so
the quantity (6/1) is not proportional to 16/4

case 3)
5/1 is not 4/1
so
the quantity (5/1) is not proportional to 16/4

case 4)
48*12--------> 24/6-----> 12/3------> 4/1
the quantity (48/12) is proportional to 16/4

case 5)
4/1 is equal to 4/1
so
the quantity (4/1) is proportional to 16/4
The following answers are proportional:

64/16, 48/12, and 4/1

Please see the attached picture for the math that justifies why you can just multiply or divide 16/4 by a fraction that equals one. This will not change the value of the original number.

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