Question

show that 0.544444..=0.54 can be expressed in the form of p/q, where p and qare integers and q=not 0​

Answer 1

Answer:

$= 0.544444444 \\ \\ = \frac{54 - 5}{90} \\ \\ = \frac{49}{90}$

Answer 2

Answer:

Answer: 49/90

Explanation-

Let X=0.544...

• multiply both side by 10 because only one digit is recurring.
• 10x=5.44...
• subtract the first equation from the second one you will get
• 10x=4.9+X
• 10x-x=4.9
• 9x=4.9
• X=4.9/90=49/90
• So, 0.54444....=49/90