The denominator of fraction is 2 more than the twice the numerator If the numator is decreased by onethe fraction beco

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​

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2 months 2021-08-06T06:14:17+00:00 2 Answers 0 views 0

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

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