Question

The denominator of a fraction is 1 less than twice its numerator. If 1 is added to
numerator and denominator respectively, the ratio of numerator to denominator is 3:5.
Find the fraction.Pls give stepwise answer.​

Answer 1

Step-by-step explanation:

Let the numerator be X

Denominator be 2x–1

Fraction =

$\frac{x}{2x - 1}$

Now, 1 is added to both, new fraction=

$\frac{x + 1}{2x - 1 + 1} \\ = > \frac{x + 1}{2x}$

According to question, we get,

$\frac{x + 1}{2x} = \frac{3}{5} \\ = > 5(x + 1) = 3 \times 2x \\ = > 5x + 5 = 6x \\ = > 6x - 5x = 5 \\ = > x = 5$

Now, fraction =

$\frac{x}{2x - 1} \\ = \frac{5}{10 - 1} \\ = \frac{5}{9} \\ thus \: required \: \: answer \: is \: \frac{5}{9}$

Om Namah Shivaya

Debasish Biswal

Answer 2

$\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}⋆$

Numerator = x

Denominator = 2x − 1

x + 1 / 2x - 1 + 1 = 3/5

x + 1 / 2x = 3/5

5x + 5 = 6x

x = 5

Fraction is 5/9