Answer:
Fractional part of the mixed number is [tex]\frac{23}{45}[/tex].
Step-by-step explanation:
First we have to simplify the given expression,
[tex]\frac{8668}{25} +\frac{4141}{9} -\frac{5533}{25}[/tex]
=[tex]\frac{(8668*9)+(4141*25)-(5533*9)}{25*9}[/tex]
=[tex]\frac{(8668-5533)*9+(4141*25)}{25*9}[/tex]
=[tex]\frac{(3135*9)+(4141*25)}{25*9}[/tex]
=[tex]\frac{28,215+103,525}{225}[/tex]
=[tex]\frac{131,740}{225}[/tex]
=[tex]\frac{26,348}{45}[/tex]
=[tex]585.51111[/tex]
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,
[tex]26,348-(585*45)=23[/tex]
Now we represent the whole number and the fraction of remainder together as a mixed number.
[tex]585\frac{23}{45}[/tex]
Therefore, fractional part of the mixed number is [tex]\frac{23}{45}[/tex].
