the numerator of a friction is 4 less than the denominator if 1 is added to both its numerator and denominator it becomes 1/2 find the fraction
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Answer:
Numerator of the fraction is 3 and its denominator is 7.
Given:
A numerator of a fraction is 4 less than its denominator.
If 1 is added to both numerator and denominator it becomes 1/2.
To find:
What is the fraction?
Solution:
Let the numerator be x.
Then, denominator = x+4.
Fraction = x/x+4
Now, x+1/x+4+1 = 1/2
=> x+1/x+5 = 1/2
=> 2x+2 = x+5
=> 2x-x = 5-2
=> x = 3.
Now, Numerator = x = 3.
And denominator = x+4 = 7.
Verification:
Numerator+1/denominator+1 = 1/2
=> 3+1/7+1 = 1/2
=> 4/8 = 1/2
=> 1/2 = 1/2
Here, LHS = RHS.
Hence, verified.
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