SOLUTION: find a fraction whose value is 4/7 and whose denominator is 15 greater than its numerator. if this is all i am asked, how do i know anything about a numerator or a denominator

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Question 597313: find a fraction whose value is 4/7 and whose denominator is 15 greater than its numerator.
if this is all i am asked, how do i know anything about a numerator or a denominator? how do I slove something like this. when you show me how, can you explain all the steps?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


In the fraction , 4 is the numerator and 7 is the denominator.

Let represent the as yet unknown numerator. Then the denominator of the unknown fraction must be . Hence, a representation of the fraction you want is:



And finally, you are given that the value of this fraction is:



Therefore



Since we know that



is equivalent to:



We can cross-multiply to get:



Now just solve the equation for , then calculate , and construct the desired fraction.

John

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