SOLUTION: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original f
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Question 389491: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction. (Need a complete solution for this. Thanks)
Found 2 solutions by MathLover1, ptaylor:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction. (Need a complete solution for this. Thanks)
let the numerator be and denominator
given: the denominator of the fraction is more than the numerator ; so,
the fraction is
If is subtracted from both numerator and denominator, the resulting fraction has a value of , so we will have
...cross multiply
..........solve for
..........the numerator
..........the denominator
so, fraction is
check:
If is subtracted from both numerator and denominator, the resulting fraction has a value of , so we will have
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=numerator
Then x+2=denominator
So our equation to solve is:
(x-1)/(x+2-1)=1/2 simplifying we have
(x-1)/(x+1)=1/2 now multiply each side by 2(x+1)
2(x-1)=x+1
2x-2=x+1 subtract x from and add 2 to each side:
2x-x-2+2=x-x+1+2 collect like terms
x=3
CK
(3-1)/(3+1)=1/2
2/4=1/2
1/2=1/2
Hope this helps---ptaylor
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