Question

Which quantity is proportional to 16⁄4? Check all that are true. 64/16 6/1 5/1 48/12 4/1

Answer 1

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.

Answer 2

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