The numerator of a fraction is 3 less than denominator. If numerator is added to the
denominator, then the fraction becomes 2/7 Find the fraction?
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Answered by
1
Answer:
answer is 1/6 1 is the numerator and 6 is the denominator
Answered by
17
Answer :-
- The fraction is 2/5.
Given :-
- The numerator of a fraction is 3 less than denominator. If numerator is added to the denominator, then the fraction becomes 2/7.
To Find :-
- The fraction.
Solution :-
Let
- Numerator be x
- Denominator will be x + 3
Numerator is added to the denominator = x /( x + 3) + x
The new fraction is 2/7
According to question :-
⇒ x/ (x + 3) + x = 2/7
⇒ x/ x + 3 + x = 2/7
⇒ x/2x + 3 = 2/7
⇒ 7 × x = 2 (2x + 3)
⇒ 7x = 4x + 6
⇒ 7x - 4x = 6
⇒ 3x = 6
⇒ x = 6/3
⇒ x = 2
Now
- Numerator = x = 2
- Denominator = x + 3 = 2 + 3 = 5
Hence, the fraction is 2/5.
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