Answer:
The required mixed fraction is [tex]1.4848..=1\frac{16}{33}[/tex]
Step-by-step explanation:
Given : Number 1.48 repeating.
To find : Write the number as a mixed number?
Solution :
Let the number
[tex]x=1.484848...[/tex] ....(1)
Multiply both side by 100,
[tex]100x=148.4848...[/tex] .....(2)
Subtract (1) and (2),
[tex]100x-x=(148.4848...)-(1.4848...)[/tex]
[tex]99x=147[/tex]
[tex]x=\frac{147}{99}[/tex]
[tex]x=\frac{49}{33}[/tex]
Now, Divide 49 by 33
[tex]49=33\times 1+16[/tex]
Into mixed fraction, [tex]\frac{49}{33}=1\frac{16}{33}[/tex]
Therefore, The required mixed fraction is [tex]1.4848..=1\frac{16}{33}[/tex]
