Question

THE DENOMINATOR OF THE FRACTION IS 1 LESS THAN TWICE ITS NUMERATOR. IF 1 IS ADDED TO THE NUMERATOR AND THE DENOMINATOR RESPECTIVELY, THE RATIO OF THE NUMERATOR TO DENOMINATOR IS 3 : 5. FIND THE FRACTION.

Answer 1

Let the numerator be "a" and denominator be "b"

Given that denominator of fraction is 1 less than twice its numerator

Hence we get,

b = 2a - 1  ----- eqn 1

We get,

a + 1 : 2a - 1 + 1 = 3 : 5

a + 1 : 2a = 3 : 5

Writing in fraction,

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

Fraction = $\frac{a}{b} = \frac{5}{9}$

Answer 2

Step-by-step explanation:

see the explanation above .