Question

the numerator of a fraction is 11 less than its denominator sum of the numerator and denominator it is 37 which is the refraction​

Answer 1

Answer:

Step-by-step explanation:

Given :-

The numerator of a fraction is 11 less than its denominator.

Sum of the numerator and denominator it is 37.

To Find :-

The Fraction :-

Solution :-

Let the denominator of fraction be x

And the Numerator be x – 11

According to the Question

⇒ x + x + 11 = 37

⇒ 2x + 11 = 37

⇒ 2x = 37 + 11

⇒ 2x = 48

⇒ x = 48/2

⇒ x = 24

Fraction = x - 11/x

= 24 - 11/24

= 13/24

Hence, the required fraction is 13/24.

Answer 2

$\large \bold{ \underline{ \underline{ \: \sf Answer : \: \: \: }}}$

$\to$ 13/24

$\large \bold{ \underline{ \underline{ \: \sf Explaination : \: \: \: }}}$

Let ,

$\star$ The denominator of fraction = x

$\star$ So , the Numerator = x – 11

According to the question ,

$\to \sf x + x + 11 = 37 \\ \\ \sf \to</p><p>2x + 11 = 37 \\ \\ \sf \to</p><p>2x = 37 + 11 \\ \\ \sf \to</p><p>2x = 48 \\ \\ \sf \to</p><p>x = \frac{48}{2} \\ \\ \to \sf</p><p>x = 24$

Therefore , The fraction is :

$\to \sf \frac{x - 11}{x} \\ \\ \sf \to</p><p> \frac{24 - 11}{24} \\ \\ \to \sf \frac{13}{24}$

Hence , the required fraction is 13/24