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If m/n = 15, p/n = 3, and p/q = 1/10. find m/q

 

How should I do this? 

 Jul 9, 2021
 #1
avatar+121062 
+3

m/n  = 15

p/n =    3

This implies  that    m =  5p

 

And

 

p/q   = 1/10     impiies  that  q  =  10 p

 

So

 

m / q    =    5p  / [ 10 p ]    =   1/2

 

EDIT .....

 

cool cool cool

 Jul 9, 2021
edited by CPhill  Jul 9, 2021
 #2
avatar+143 
+1

THANK YOU!!!!!!!'

I am stuck on this step: why will p/q = 1/10 imply  q = (1/10) p?

 

i'll try to figure it out now. p/q = 1/10. so 10q = p. so q = p/10 which is (1/10) p FIGURED IT OUT

 

Wait... it's p/q =1/10. so it is 10p = q???? so then p = (1/10) q

HighSchoolDx  Jul 9, 2021
edited by HighSchoolDx  Jul 9, 2021
edited by HighSchoolDx  Jul 9, 2021
 #3
avatar+121062 
+1

Slight mistake.....check my edit  !!!!!

 

 

cool cool cool

CPhill  Jul 9, 2021
 #4
avatar+143 
+2

YOO NOW i get it! Thank you for the edit CPHILL :)

 Jul 9, 2021
 #5
avatar+2244 
+2

Another way you could do this is to assume that q = 1. 

If q = 1, and p/q = 1/10, p = 1/10. 

If p = 1/10, and p/n = 3, n = 1/30. 

If n = 1/30, and m/n = 15, m = 1/2. 

 

CPhill's way is very smart by using substitution. :))

 

=^._.^=

 Jul 9, 2021
 #6
avatar+143 
+3

YOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

 

THIS IS BIG BRAIN TIME! ANOTHER WAY OF GETTING> THE SAME ANSWER

HighSchoolDx  Jul 9, 2021
 #7
avatar+121062 
+2

Yours works OK , too, catmg   !!!!

 

cool cool cool

CPhill  Jul 9, 2021
 #8
avatar+143 
+2

BIG BRAINS 

 Jul 9, 2021
 #9
avatar+35057 
+3

m/  *    n/p   * p/q      =   15  * 1/3 * 1/10                   See how things 'cancel out' and you are left with  m/q  ? 

m/q = 1/2

 Jul 9, 2021
 #10
avatar+121062 
+1

I think I like EP's  simple solution the  best.....no fuss.....no muss  !!!!!

 

 

cool cool cool

CPhill  Jul 9, 2021
 #11
avatar+143 
+1

THANK
THATS ONE ELEGANT SOLUTION!

HighSchoolDx  Jul 9, 2021
edited by HighSchoolDx  Jul 9, 2021

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