Question
Which pair of ratios forms a proportion? (4/5 10/13), (7/8 15/18), and (1/2 14/28)
Answers
my_crafting
a proportion is a part of a whole
so which ones can you change the denominator to make them fit together?
so which ones can you change the denominator to make them fit together?
sans the skeleton
a part, share, or number considered in comparative relation to a whole
Goat mom
knowing that which is your answer?
sans the skeleton
4/5 10/13
sans the skeleton
idk im bad at this
Goat mom
Well can you multiply 5 by any hole number to = 13? can you divide 13 by any hole number to = 5?
Ms. Sue
4/5 does not equal 10/13.
Multiply both the numerator and denominator by the same number.
4/5 * 2 = 8/10
4/5 * 3 = 12/15
Multiply both the numerator and denominator by the same number.
4/5 * 2 = 8/10
4/5 * 3 = 12/15
sans the skeleton
5 can create 10 but 4 can not mak 13
Ms. Sue
Goat mom -- I think you mean whole number.
Damon
what is 2 * 14 ?
DrBob222
Why not get down to the problem?
Is there a whole number that multiplies by 4 and 5 to make 10 an 13?
Is there a whole number that multiplies by 7 and 8 to make 15 and 18
Is there a whole number tha tmultiplies by 1 and 2 to make 14 and 28?
If yes, there is a proportion. If no, there isn't. For example,
look at the pair of 2/3 and 8/12. If we multiply 4 x 2 we get 8 and 4 x 3 = 12 so the pair of 2/3 and 8/12 is a proportion.
Is there a whole number that multiplies by 4 and 5 to make 10 an 13?
Is there a whole number that multiplies by 7 and 8 to make 15 and 18
Is there a whole number tha tmultiplies by 1 and 2 to make 14 and 28?
If yes, there is a proportion. If no, there isn't. For example,
look at the pair of 2/3 and 8/12. If we multiply 4 x 2 we get 8 and 4 x 3 = 12 so the pair of 2/3 and 8/12 is a proportion.
Bosnian
1st / 2nd = 3rd / 4th
( 4 / 5 ) : ( 10 / 13 ) = 4 ∙ 13 : ( 5 ∙ 10 ) = 52 : 50 = 2 ∙ 26 : 2 ∙ 25 = 26 / 25
( 7 / 8 ) : ( 15 / 18 ) = 7 ∙ 18 : ( 8 ∙ 15 ) = 126 : 120 = 6 ∙ 21 : 6 ∙ 20 = 21 / 20
( 1 / 2 ) : ( 14 / 28 ) = ( 1 / 2 ) : ( 14 / 14 ∙ 2 ) = 1 / 2 : 1 / 2 = 1
( 4 / 5 ) : ( 10 / 13 ) = 4 ∙ 13 : ( 5 ∙ 10 ) = 52 : 50 = 2 ∙ 26 : 2 ∙ 25 = 26 / 25
( 7 / 8 ) : ( 15 / 18 ) = 7 ∙ 18 : ( 8 ∙ 15 ) = 126 : 120 = 6 ∙ 21 : 6 ∙ 20 = 21 / 20
( 1 / 2 ) : ( 14 / 28 ) = ( 1 / 2 ) : ( 14 / 14 ∙ 2 ) = 1 / 2 : 1 / 2 = 1
Henry2
A proportion is an equation that says 2 ratios are equal.
Proportion: 1/4 = 2/8; We know this is true , because 2/8 can be reduced to
1/4.
So 1/2 = 14/28, because 14/28 can be reduced to 1/2.
Proportion: 1/4 = 2/8; We know this is true , because 2/8 can be reduced to
1/4.
So 1/2 = 14/28, because 14/28 can be reduced to 1/2.
MathMate
Another way is to cross multiply.
Multiply one numerator by the denominator of the other. Repeat for the other numerator. If the products are equal, they're in proportion.
Example:
<b>4</b>/6 : 8/<b>12</b>
<b>4</b>(numerator) * <b>12</b> (other denominator) = 48
8(other numerator) * 6 (this numerator) = 48
so 4/6 and 8/12 are proportional.
Multiply one numerator by the denominator of the other. Repeat for the other numerator. If the products are equal, they're in proportion.
Example:
<b>4</b>/6 : 8/<b>12</b>
<b>4</b>(numerator) * <b>12</b> (other denominator) = 48
8(other numerator) * 6 (this numerator) = 48
so 4/6 and 8/12 are proportional.
MathMate
Second line in example should read:
8(other numerator) * 6 (this <i>denominator</i>) = 48
8(other numerator) * 6 (this <i>denominator</i>) = 48
sanes the underman
*Megalovania intensifies*