The numerator of a fraction is 4 less than its denominator. If 2 is added to the numerator,
the fraction becomes 5/7 . Find the fraction.
Please include the STEPS.
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Answer: -7/11
Step-by-step explanation:
Let the denominator be x .
Then numerator is x-4.
If 2 is added to numerator , then
x-4+2 = x-2
The fraction thus becomes 5/7.
According to the question ,
x-2/x = 5/7
On cross multiplying ,
7 X (x-2) = 5 X (x)
7x - 14 = 5x
7x - 5x = 14
2x = 14
x = 14/2 = 7
So the denominator = x = 7
And the numerator = x-4 = 7 - 4 = 3
Therefore the required fraction is 7/3.
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