the denominator of a fraction is 4 more than its numerator on subtracting one from each numerator and the denominator the fraction becomes 1 upon2 which find the original fraction
Answers
Answered by
5
Answer:
Step by step explanation in attachment
Attachments:
Answered by
2
Answer :-
Fraction is 5/9
Explanation :-
Let the numerator of the fraction be x
Denominator of the fraction = 4 more than its numberator = (x + 4)
Given
Subtracting one from each numerator and the denominator the fraction becomes 1/2
⇒ (x - 1)/{(x + 4) - 1} = 1/2
⇒ (x - 1)/(x + 4 - 1) = 1/2
⇒ (x - 1)/(x + 3) = 1/2
By cross multiplication
⇒ 2(x - 1) = 1(x + 3)
⇒ 2x - 2 = x + 3
⇒ 2x - x = 3 + 2
⇒ x = 5
Numerator of the fraction = x = 5
Denominator of the fraction = (x + 4) = (5 + 4) = 9
∴ Fraction = x/(x + 4) = 5/9
Similar questions