Question

express the following number 0.404040in the form p/ q where p and q are both integers and q=0:

​

Answer 1

➸ Given:-

• Number is 0.404040...

➸ To Find:-

• p/q form of the given number.

ᬊ Required Response:-

Let,

x = 0.404040... ➝ ①

As the decimal is repeating on two places [4&0], Multiply both sides with 100.

100(x) = 0.404040...×100

100x = 40.4040... ➝ ②

By Subtracting ① from ②

100x = 40.404040...

x = 0.404040...

_(-)_______________

99x = 40

x = 40/99

p/q form of 0.404040...

• $\longmapsto\;\Large{\red{\bold{\frac{40}{99}}}}$

Rational Number:- A number which can be written in the form of p/q where q ≠ 0 and p,q belongs to Integers.

$\tt{@MrMonarque}$

Hope It Helps You ✌️