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DDeston

it would be 1 as your whole number and 48/99 typiclly it would be 48/100 but since its a repeating number it would be over 99 now weather or not your teacher wants you to reduce that i dont know

Answer:

The required mixed fraction is \(1.4848..=1\frac{16}{33}\)    

Step-by-step explanation:

Given : Number 1.48 repeating.        

To find : Write the number as a mixed number?

Solution :

Let the number

\(x=1.484848...\) ....(1)

Multiply both side by 100,

\(100x=148.4848...\) .....(2)

Subtract (1) and (2),

\(100x-x=(148.4848...)-(1.4848...)\)

\(99x=147\)

\(x=\frac{147}{99}\)

\(x=\frac{49}{33}\)      

Now, Divide 49 by 33

\(49=33\times 1+16\)

Into mixed fraction, \(\frac{49}{33}=1\frac{16}{33}\)    

Therefore, The required mixed fraction is  \(1.4848..=1\frac{16}{33}\)    

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