Question

The denominator of fraction is 2 more than the twice the numerator
If the numator is decreased by one
the fraction becomes 1/4 find the fraction​

Answer 1

Answer:

3/8

Step-by-step explanation:

Let the numerator be 'x' and denominator be 'y'. Thus, fraction be x/y.

y = 2 + 2x        [given]

If the numerator is decreased by 1, fraction becomes 1/4.

⇒ (x - 1)/y = 1/4

⇒ (x - 1)/(2 + 2x) = 1/4

⇒ 4(x - 1) = 2 + 2x

⇒ 4x - 4 = 2 + 2x

⇒ 4x - 2x = 2+4       ⇒ x = 3

  thus, y = 2 + 2x = 2 + 2(3) = 8

∴ Fraction = x/y = 3/8