The denominator of a rational number is 4 more than the numerator. if the numerator and the denominator are increased by 1 each, the rational number becomes 1/2. find the number.
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The denominator of a rational number is 4 more than the numerator. if the numerator and the denominator are increased by 1 each, the rational number becomes 1/2. find the number.
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Answer:
The required rational number is 3/7.
Step-by-step explanation:
Given that, the denominator of the rational number is 4 more than the numerator.
So, now we have :
Hence, the rational number will be :
According to the question, if the numerator and the denominator are increased by 1 each, the number becomes ½ :
Now, let’s cross multiply them and solve :
Now, substituting this value in {eq 1} to find the rational number :
Therefore, the unknown rational number is 3/7.
Given :-
To Find :-
Solution :-
Let, Numerator be x and denominator=x+4
The required original fraction will be :-
According to the question:-
Hence, the required original fraction will be :