Question

the numerator of a fraction is 5 less than its denominator if 1 is added to each its value becomes 1/2 find the original fraction​

Answer 1

Answer :

• Orginal fraction is 4/9.

Given :

• The numerator of a fraction is 5 less than its denominator and 1 is added to each then it's value becomes 1/2.

To Find :

• Original fraction.

Solution :

Let

• Denominator of the fraction = x
• Numerator of the fraction = x - 5

1 added to each

• Denominator = x + 1
• Numerator = (x - 5) + 1 = x - 4

It is given that

• After adding 1 to the numerator and denominator, the new fraction is 1/2.

Accordimg to question :

→ x - 4/x + 1 = 1/2

→ 2 (x - 4) = 1 (x + 1)

→ 2x - 8 = x + 1

→ 2x - x = 1 + 8

→ x = 9

Now

• Denominator = x => 9
• Numerator = x - 5 = 9 - 5 => 4

Hence, the original fraction is 4/9.

Answer 2

Answer:

Lets's solve ot step by step with proper cincept :)

Step-by-step explanation:

Solution :

Let

Denominator of the fraction = x

Numerator of the fraction = x - 5

1 added to each

Denominator = x + 1

Numerator = (x - 5) + 1 = x - 4

It is given that

After adding 1 to the numerator and denominator, the new fraction is 1/2.

Accordimg to question :

→ x - 4/x + 1 = 1/2

→ 2 (x - 4) = 1 (x + 1)

→ 2x - 8 = x + 1

→ 2x - x = 1 + 8

→ x = 9

Now

Denominator = x => 9

Numerator = x - 5 = 9 - 5 => 4

Hence, the original fraction is 4/9.

Hope it helped you and the question asked by you also helped me  :)