Question

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 3 , then expression for new denominator is ____________​

Answer 1

solved below,

Step-by-step explanation:

first equation will be formed as,

$\frac{n}{d+10}$

where, n= numerator and d= denominator

second equation will be formed as,

$\frac{n+1}{d-3}$

so the new denominator is (d-3)

Answer 2

Step-by-step explanation:

Question :

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 3 , then expression for new denominator is ____________

Solution :

Let the numerator be x.

Now,

Denominator is greater than numerator by 10.

• So, let the denominator be x + 10.

Case : 1

★ The numerator is increased by 1. So, the new numberator is x + 1.

Case : 2

★ Again, the denominator is decreased by 3.

Our earlier denominator was x + 10.

Now, new denominator is :

$\sf \leadsto \: x + 10 - (3)$

$\sf \leadsto \: x + 10 - 3$

$\bf \leadsto \: x + 7$

Fraction will be :

$\dashrightarrow \sf \: \dfrac{Numerator}{Denominator}$

$\dashrightarrow \bf\dfrac{x + 1}{x + 7}$

Hence, the new expression for denominator is :

$\longrightarrow \boxed{ \pink{ \bf x + 7}} \: \red\bigstar$