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November 14th, 2014, 03:48 AM  #1 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  A calculation
Hello! To calculate $\displaystyle 35:5:7$. 
November 14th, 2014, 03:59 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,778 Thanks: 361 
If : denotes division then 1.

November 14th, 2014, 08:08 AM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,817 Thanks: 123 Math Focus: Trigonometry and Logarithm 
(35 : 5) : 7

November 14th, 2014, 09:11 AM  #4 
Senior Member Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 371 Thanks: 68 
Continuing one more step beyond Monox's suggestion: (35:5):7 = (7:1):7 = Now what are the final two steps? 
November 14th, 2014, 02:16 PM  #5 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,817 Thanks: 123 Math Focus: Trigonometry and Logarithm 
What is 7 : 1? You know the result, then divide it by 7. Done. You would have found the answer.

November 15th, 2014, 11:21 AM  #6 
Senior Member Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 371 Thanks: 68 
7:1 is the reduction of the ratio 35:5 Monox, what is the "answer" in your opinion? 
November 15th, 2014, 10:17 PM  #7 
Senior Member Joined: Apr 2013 Posts: 425 Thanks: 24  
November 18th, 2014, 12:52 AM  #8 
Newbie Joined: Oct 2014 From: Vietnam Posts: 5 Thanks: 1 
As usual, you go from left to right. It likes (35:5):7. The final answer is 1. 
November 20th, 2014, 08:11 AM  #9 
Math Team Joined: Apr 2010 Posts: 2,778 Thanks: 361 
If 35 : 5 : 7 denotes a ratio then the reduction to 7 : 1 : 7 isn't allowed. However, it seems to be a division.

November 21st, 2014, 04:34 PM  #10 
Senior Member Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 371 Thanks: 68 
Hoempa, I see what you mean. At first I thought 7:1:7 was the "answer". But clearly 35:5:7 is a threeterm ratio which cannot be reduced. So, Dacu, what do mean by "solving" the ratio? Last edited by skipjack; November 21st, 2014 at 06:15 PM. 

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