Question

The denominator of A fraction is greater than it's numerator by 11. If 8 is added to both it's numerator and denominator, it becomes 3/4.find the fractio.

Answer 1

Answer:

The Fraction is 13/21.

Step-by-step explanation:

Given :

Denominator of the Fraction is 11 more than its numerator.

If 8 is added to both numerator and Denominator the new Fraction = 3/4

To find :

The Fraction

Solution :

Consider the -

• Numerator as x
• Denominator as (x + 8)

★ (x + 11)/(x + 8) + 11 = 3/4

➾ x + 11/(x + 8) + 11 = 3/4

➾ 4(x + 11) = 3(x + 8 + 11)

➾ 4x + 44 = 3x + 24 + 33

➾ 4x + 44 = 3x + 57

➾ 4x - 3x = 57 - 44

➾ x = 13

★ Value of x + 8

➾ 13 + 8

➾ 21

Numerator = 13

Denominator = 21

.°. The Fraction is 13/21.

Verification :-

Add 11 to Numerator and Denominator and check if the Fraction results as 3/4.

★ (13 + 11)/(21 + 11) = 3/4

➾ 24/32 = 3/4

Divide it by 8

➾ 3/4 = 3/4

.°. The Fraction is 13/21.

Answer 2

QUESTIONS—

The denominator of a fraction is greater than its numerator by 11.If 8 is added to both its numerator and denominator, then it becomes 3/4. Find the fraction?

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$\bf\huge\boxed{Answers}$

$\huge=\sf\frac{25}{36}$

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Solution —

Let numerator=x, then denominator=x+11

See attachment for detailed explanation✌

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