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apj

· started a discussion

· 1 Months ago

i am getting A:B 12/20:20/28 and B:C as 21/28 and 14/25

Question:
If A : B =  \(\cfrac{3}{5} : \cfrac{5}{7}\) , B: C = \(\cfrac{3}{4} : \cfrac{2}{5} \) , then what is A : B : C equal to ? 
Options:
A) \(\cfrac{3}{5} : \cfrac{5}{7} : \cfrac{2}{5}\)
B) \(\cfrac{9}{20} : \cfrac{15}{28} : \cfrac{2}{7}\)
C) \(\cfrac{3}{5} : \cfrac{3}{4} : \cfrac{2}{5}\)
D) \(\cfrac{3}{5} : \cfrac{5}{7} : \cfrac{3}{4}\)
Solution:
Ans: (b)


alt sol:


A:B = 3/5 : 5/7 and B:C = 3/4 : 2/5


To get A:B:C ,


A:B = 3/4 * 3/5 : 3/4 * 5/7 = 9/20 : 15/28


B:C = 5/7 * 3/4 : 5/7 * 2/5 = 15/28 : 10/35


A:B:C = 9/20 : 15:28 : 10/35


or, A:B:C = 9/20 : 15/28 : 2/7

Knowledge Expert

· commented

· 1 Months ago

Dear student, please see:

We have given,

A:B = 3/5 : 5/7 and B:C = 3/4 : 2/5

To get A:B:C ,

A:B = 3/4 * 3/5 : 3/4 * 5/7 = 9/20 : 15/28

B:C = 5/7 * 3/4 : 5/7 * 2/5 = 15/28 : 10/35

A:B:C = 9/20 : 15:28 : 10/35

or, A:B:C = 9/20 : 15/28 : 2/7

apj

· commented

· 1 Months ago

plz help how to get final ans

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