Question

5. The numerator of a fraction is 2 less than the denominator. If 5 is added to both the numerator
and the denominator, the fraction becomes 3/4 find fraction ​

Answer 1

Given :

• The numerator of a fraction is 2 less than the denominator.
• If 5 is added to both the numerator and the denominator, the fraction becomes 3/4.

To Find :

• The Fraction

Solution :

Let,

• Denominator = x
• Numerator = x - 2⠀[Given]

After adding 5 :

• Denominator = x + 5
• Numerator = x - 2 + 5

According to the Question :

⟶⠀x - 2 + 5/x + 5 = 3/4

⟶⠀x + 3/x + 5 = 3/4

• Cross Multiplication :

⟶⠀4 (x + 3) = 3 (x + 5)

⟶⠀4x + 12 = 3x + 15

⟶⠀4x - 3x = 15 - 12

⟶⠀x = 3

Therefore :

• Denominator = x = 3
• Numerator = x - 2 = 3 - 2 = 1
• Fraction = 1/3

___________________

Answer 2

Answer:

Let denominator = X

numerator=X-2

Step-by-step explanation:

Now,

Numerator= X+5

Denominator=X-2+5

= X+3

A/q

=> X+5 / X+3 = 3/4

=> 4(X+5) = 3(X+3)

=> 4X + 20 =3X + 9

=>4X-3X = 9 - 20

=> X = -11

So numerator = -11

Denominator = -11-2

= -13

fraction = -11/ -13

So, fraction = 11/13

Hope it helps you