Question

Write 1.48 repeating as a mixed number

Answer 1

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 2

The required mixed fraction is
`1.4848..=1(16)/(33)`

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=(147)/(99)`

`x=(49)/(33)`

Now, Divide 49 by 33

`49=33* 1+16`

Into mixed fraction,
`(49)/(33)=1(16)/(33)`

Therefore, The required mixed fraction is
`1.4848..=1(16)/(33)`