Question

denominator of a fraction is one more than twice the numerator the difference between the reciprocal of a fraction and the fraction
$3 \times \frac{3}4}$
find the fraction ​

Answer 1

Answer:

★ Similar Question ★

The denominator of a fraction is one more than twice the numerator.... If the sum of the fraction and it's reciprocal is $2 \frac{16}{21}$ find the fraction.

★ Answer ★

• The fraction is ↬ 3/7.

★ Find ★

Find the fraction ?

★ Solution ★

So ,consider the numerator be x.

As from Given = 2x + 1.

= x/2x + 1.  ----- (1)

★ According to the Question :-

Now,

⇒ (x/2x + 1) + (2x + 1/x) = 58/21

⇒ x² + ( 2x + 1)²/x × ( 2x + 1) = 58/21

⇒ x² + 4x² + 1 + 4x/(2x² + x) = 58/21

⇒ 21 (x² + 4x² + 1 + 4x) = 58(2x² + x)

⇒ 21 (5x² + 4x² + 1) = 58(2x² + x)

⇒ 105x² + 84x² + 21 = 116x² + 58x

⇒ 11x² - 26x - 21 = 0

⇒ 11x² - 33x + 7x - 21 = 0

⇒ 11x(x - 3) + 7(x - 3) = 0

⇒ (11x + 7) (x - 3) = 0

Then,

⇒ x = 3

&

x = -7/11.

We got the value of x = 3.

Hence , the original fraction is 3/2(3) + 1 ⇒ 3/7.

_________________________

Answer 2

Answer:

hiii.......................................