(3) The denominator of a fraction is 1 less than twice its numerator. If 1 is added to
the numerator and the denominator, the ratio of the numerator to the denominator
is 3:5. Find the fraction.
Answers
Answer:-
- The fraction is 5/9.
step-by-step solution:-
- Let the numerator be "α" and denominator be "ɓ"
- Given that denominator of fraction is 1 less than twice its numerator
Hence we get,
⟶ b = 2a - 1 ----- eqn 1
Also given that if 1 is added to numerator and denominator respectively the ratio of numerator to denominator is 3 is to 5
Hence we get,
⟶ a + 1 : 2a - 1 + 1 = 3 : 5
⟶ a + 1 : 2a = 3 : 5
Writing in fraction,
⟶ a + 1/2a = 3/5
⟶ 5(a+1) = 3(2a)
⟶ 5a + 5 = 6a
⟶ 6a – 5a = 5
⟶ a = 5
Substituting "a" in eqn 1, we get value of "b"
⟶ b = 2a - 1 = 2(5) - 1 = 10 - 1 = 9
Thus b = 9
________________________________
Learn more about this topic-
The denominator of a fraction is 1 less than 4 times the numerator if 1 is added to both the numerator and the denominator the fraction becomes 3 by 8 find the fraction
https://brainly.in/question/4128243
The numerator of a fraction is 1 less than the denominator. If 3 is added to each of the numerator and denominator, the fraction is increased by 3/28. Find the fraction.
https://brainly.in/question/7519481