Question

When 8668/25+4141/9-5533/25 is computed and written as a mixed number in simplest form, what is the fractional part of that mixed number?

Answer 1

Fractional part of the mixed number is
`(23)/(45)`.

Explanation:

First we have to simplify the given expression,

`(8668)/(25) +(4141)/(9) -(5533)/(25)`

=
`((8668*9)+(4141*25)-(5533*9))/(25*9)`

=
`((8668-5533)*9+(4141*25))/(25*9)`

=
`((3135*9)+(4141*25))/(25*9)`

=
`(28,215+103,525)/(225)`

=
`(131,740)/(225)`

=
`(26,348)/(45)`

=
`585.51111`

Now we have to take the whole number that we get by dividing numerator by denominator,

It is 585

Now we have to find the remainder after taking the numerator,

`26,348-(585*45)=23`

Now we represent the whole number and the fraction of remainder together as a mixed number.

`585(23)/(45)`

Therefore, fractional part of the mixed number is
`(23)/(45)`.