Question

18. The numerator of a fraction is four less than its denominator. If 1 is added to both, its numerator and denominator, the fraction becomes 1|2. Find the fraction.​

Answer 1

Step-by-step explanation:

this is your answer

Answer 2

Answer:

• The required fraction = 3/7

Step-by-step explanation:

Given:

• Numerator of a fraction = Four less than Denominator
• If 1 is added to both numerator and denominator, it becomes 1/2

To find:

• The fraction

Solution:

Let,

• Denominator = x

According to the first condition,

• Numerator+4 = Denominator
• Numerator+4 = x
• Numerator = x-4

When 1 is added to both numerator and denominator,

• Numerator = (x-4)+1
• Denominator = x+1

Now, According to the question:

⇒ (x-4)+1/(x+1) = 1/2

Cross multiply the equation,

⇒ 2[(x-4)+1] = x+1

⇒ 2(x-3) = x+1

⇒ 2x-6 = x+1

⇒ x-6 = 1

⇒ x = 7

We know that,

⇒ x-4/x is our required fraction.

⇒ (7-4)/7

⇒ 3/7

Final Answer:

• Required fraction = 3/7