SOLUTION: Hello. I'm a parent trying to help her 6th grade student. How do you solve 9/6 = h/14? 6 doesn't go into 14 evenly so do I need to reduce it to 3/2 and then 3/2 = 21/14? 2 goes int

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Hello. I'm a parent trying to help her 6th grade student. How do you solve 9/6 = h/14? 6 doesn't go into 14 evenly so do I need to reduce it to 3/2 and then 3/2 = 21/14? 2 goes int      Log On


   



Question 562135: Hello. I'm a parent trying to help her 6th grade student. How do you solve 9/6 = h/14? 6 doesn't go into 14 evenly so do I need to reduce it to 3/2 and then 3/2 = 21/14? 2 goes into 14 seven times so I multiplied 7 x 3 and got 21. Probably didn't do it right. Please help me refresh my memory. Thanks! Beth
Found 3 solutions by Alan3354, TutorDelphia, lwsshak3:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve 9/6 = h/14?
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Cross multiply
9*14 = 6h
6h = 126
h = 21
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21 is right, but do it the easy way.

Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
9/6 = h/14
you are right that 9/6 reduces to 3/2
3%2F2=h%2F14
I can multiple 3/2 by 7/7 (which equals 1) which will give me 14 as my new denominator and 21 as my numerator
%283%2F2%29%2A%287%2F7%29=h%2F14
21%2F14=h%2F14
So h=21 which is correct
Two other ways of doing this are to use the cross multiplication method, or to do the opposite of dividing by 14 (and therefore multiplying both sides by 14)
Which gives %2814%2A9%29%2F6=h which again will get us that h=21

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Hello. I'm a parent trying to help her 6th grade student. How do you solve 9/6 = h/14? 6 doesn't go into 14 evenly so do I need to reduce it to 3/2 and then 3/2 = 21/14? 2 goes into 14 seven times so I multiplied 7 x 3 and got 21. Probably didn't do it right. Please help me refresh my memory. Thanks! Beth
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9/6 = h/14
The best way to solve this equation is first cross multiply then solve for the unknown:
6h=9*14=126
divide both sides by 6
h=126/6=21
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You could reduce 9/6 to 3/2 first and work with smaller numbers
3/2 = h/14
2h=42
h=21
you got it right anyway