Question

The numerator of a fraction is 4 less than the denominator. 1 is added to both its
mumerator and denominator it becomes
Find the fraction​

Answer 1

Answer:

1/5 + 1 = 1+1/5+1 = 2/6

Step-by-step explanation:

x-4/x

This does not have any fixed value

Lowest fraction possible of x-4/x = 1/5

other possible fractions are 2/6, 3/7, 4/8, 5/9 and so on.

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Answer 2

Correct Question:

The numerator of a fraction is 4 less than the denominator. If 1 is added to both the numerator and the denominator, then the fraction becomes 1 / 2. Find the original fraction.

Answer:

The required fraction is 1 / 3.

Step-by-step-explanation:

Let the numerator of fraction be x.

And denominator of fraction be y.

∴ The fraction = x / y

From the first condition,

The numerator of a fraction is 4 less than the denominator.

∴ y = x + 4 - - - ( 1 )

From the second condition,

If 1 is added to both the numerator and the denominator, then the fraction becomes 1 / 2.

∴ ( x + 1 ) / ( y + 1 ) = 1 / 2

⇒ 2 ( x + 1 ) = 1 ( y + 1 )

⇒ 2x + 2 = y + 1

⇒ 2x - y = 1 - 2

⇒ 2x - ( x + 4 ) = - 1 - - - [ From ( 1 ) ]

⇒ 2x - x - 4 = - 1

⇒ x = - 1 + 4

⇒ x = 3

∴ Numerator = 3

By substituting x = 3 in equation ( 1 ),

y = x + 4 - - - ( 1 )

⇒ y = 3 + 4

⇒ y = 7

∴ Denominator = 7

Now,

The fraction = Numerator / Denominator

⇒ The fraction = 3 / 7

∴ The required fraction is 3 / 7.