Question

(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.​

Answer 1

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