MEDAL :) Please help me Which ratios do not form a proportion? A. 24/96 , 27/108 B. 17/102 , 12/70 C. 21/51 , 35/85 B. 45/75 , 63/105
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please help me @aum
If a/b = c/d then, a*d = b*c (cross-multiplying). So IF 24/96 = 27/108 then check if 24*108 is equal to 27*96
I got 2916
I did 108 x 24
If 24 x 108 = 27 x 96 then 24/96 and 27/108 form a proportion.
But I need to know which ratios do not form a proportion
Ok then so I multiply the same numbers with each other choices
Correct. Try the same method with each answer choice and see which one is not true.
So would it be C.
@aum
B. 17/102 , 12/70 17 x 70 = 1190 12 x 102 = 1224 1190 is not equal to 1224. Therefore 17/102 and 12/70 do NOT form a proportion. Try the other two choices too just to make sure.
All you have to do is cross-multiply and check if they are the same.
\[ \frac{21}{51}, ~~~\frac{35}{85} \\ \text{Cross-multiply:} \\ 21 \times 85 = 1785 \\ 35 \times 51 =1785 \\ \text{Both are the same. Therefore, they form a proportion.} \]
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