SOLUTION: I don't know how check to make sure the answer is right. 1500/45=2000/x 1500x=2000*45 1500x=90001500x/1500=90000/1500 x=90000/1500 x=60 I know the answer is correct but I nee

Algebra ->  Expressions-with-variables -> SOLUTION: I don't know how check to make sure the answer is right. 1500/45=2000/x 1500x=2000*45 1500x=90001500x/1500=90000/1500 x=90000/1500 x=60 I know the answer is correct but I nee      Log On


   

Question 86519This question is from textbook algebra structure and method
: I don't know how check to make sure the answer is right.
1500/45=2000/x
1500x=2000*45
1500x=90001500x/1500=90000/1500
x=90000/1500
x=60
I know the answer is correct but I need to check it now.
Could you tell me how to do that.
Thank you This question is from textbook algebra structure and method

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To check this, simply plug the solution back into the original equation

1500%2F45=2000%2F60 plug in x=60
Reduce the left side
Solved by pluggable solver: Reducing Fractions Calculator
In order to reduce 1500%2F45, the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal.


In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of 1500 and 45 is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by



In other words, to reduce the fraction you do this
%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction



%281500%2F%29%2F%2845%2F%29 Plug in the numerator, denominator, and the GCF


%28100%29%2F%2845%2F%29 Now divide 1500 by to get 100. This is now the new numerator.


100%2F3 Now divide 45 by to get 3. This is now the new denominator.



So

%281500%2F%29%2F%2845%2F%29=100%2F3




This means that 1500%2F45 reduces to 100%2F3



In other words, 1500%2F45=100%2F3





100%2F3=2000%2F60
Reduce the right side
Solved by pluggable solver: Reducing Fractions Calculator
In order to reduce 2000%2F60, the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal.


In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of 2000 and 60 is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by



In other words, to reduce the fraction you do this
%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction



%282000%2F%29%2F%2860%2F%29 Plug in the numerator, denominator, and the GCF


%28100%29%2F%2860%2F%29 Now divide 2000 by to get 100. This is now the new numerator.


100%2F3 Now divide 60 by to get 3. This is now the new denominator.



So

%282000%2F%29%2F%2860%2F%29=100%2F3




This means that 2000%2F60 reduces to 100%2F3



In other words, 2000%2F60=100%2F3






So now we're left with this

100%2F3=100%2F3

which is true. So the answer is verified