Answer:
The fraction number is [tex]\frac{34}{9}[/tex]
Step-by-step explanation:
we have
[tex]3.777...[/tex]
This is a repeating decimal (a decimal that has a digit, that repeat over and over and over again without ever ending)
Convert to fraction number
Let
[tex]x=3.777...[/tex]
[tex]10x=37.777...[/tex]
we know that
[tex]10x-x=37.777...-3.777...[/tex]
[tex]9x=34[/tex]
[tex]x=\frac{34}{9}[/tex]
therefore
The fraction number is [tex]\frac{34}{9}[/tex]
