the the numerator of a fraction is less than its denominator by 4. if if denominator is decreased by 1 and the numerator is increased by 11 the new number becomes 7 by 3 find the original fraction please guys help me please please please
Answers
Answered by
5
Answer:
The original fraction =
Step-by-step explanation:
Let's assume the denominator of the fraction is x
∴ The numerator is x - 4.
New denominator = x - 1
And New numerator = x - 4 + 11 = x + 7
According to the problem:
=> 3x + 21 = 7x - 7
=> - 4x = -28
∴ x = 7 = original denominator
Original numerator = x - 4 = 3
∴ The original fraction =
Answered by
7
GIVEN :-
- The numerator of a fraction is less than its denominator by 4.
- Denominator is decreased by 1 and the numerator is increased by 11 the new number becomes 7/3.
TO FIND :-
- The original Fraction.
SOLUTION :-
Let the denominator of the fraction be "x". Therefore the numerator of the fraction be "x - 4".
★ Original Fraction = (x - 4)/x
★══════════════════★
New numerator become x - 6 + 11 = "x + 7".
New denominator become = "x - 1".
★ New fraction = (x + 7)/(x - 1)
★══════════════════★
★ Original Fraction = (x - 4)/x
★ Original fraction = (7 - 4)/7 = 3/7
Hence the required original fraction is 3/7.
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