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Tell whether the two ratios form a proportion. Explain. 3/1 24/8

 May 7, 2014

Best Answer 

 #2
avatar+1006 
+5

First, ratios are in the form of:

 

n:n (where 'n' equals any number)

 

While proportions are:

 

n(1)/n(2) = n(1`)/n(2`) (where n(1) is able to be multiplied/divided by a number to reach n(1`) (and vice versa for n(2) and n(2`)))

 

Now, on to the problem!

 

First, to be proportional means that the numbers are the same, just in different forms. This means that 3/1 and 24/8 must be the name number to be a proportion.

 

A simple way of doing that is to take the fraction's numerator and divide it by its denominator, and do it for all the listed fractions.

 

3/1 = 3

24/8 = 3

 

If all of the fractions simplify to the same number, then they are proportional.

 

3 = 3

 

Thus, 3/1 is proportional to 24/8

 May 7, 2014
 #1
avatar
+5

Yes, because 24/8 reduces to 3/1.

Also, if you set them up as a proportion and solve, they will equal each other.

 May 7, 2014
 #2
avatar+1006 
+5
Best Answer

First, ratios are in the form of:

 

n:n (where 'n' equals any number)

 

While proportions are:

 

n(1)/n(2) = n(1`)/n(2`) (where n(1) is able to be multiplied/divided by a number to reach n(1`) (and vice versa for n(2) and n(2`)))

 

Now, on to the problem!

 

First, to be proportional means that the numbers are the same, just in different forms. This means that 3/1 and 24/8 must be the name number to be a proportion.

 

A simple way of doing that is to take the fraction's numerator and divide it by its denominator, and do it for all the listed fractions.

 

3/1 = 3

24/8 = 3

 

If all of the fractions simplify to the same number, then they are proportional.

 

3 = 3

 

Thus, 3/1 is proportional to 24/8

GoldenLeaf May 7, 2014
 #3
avatar+118609 
0

I suppose that is what the person is asking.  Umm not sure.

 May 8, 2014
 #4
avatar+128475 
0

Just cross-multiply.......3x8 = 24x1 ......and that is true...thus, these are proportional.

 May 8, 2014

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