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

Answer:

Fractional part of the mixed number is $\frac{23}{45}$.

Step-by-step explanation:

First we have to simplify the given expression,

$\frac{8668}{25} +\frac{4141}{9} -\frac{5533}{25}$

=$\frac{(8668*9)+(4141*25)-(5533*9)}{25*9}$

=$\frac{(8668-5533)*9+(4141*25)}{25*9}$

=$\frac{(3135*9)+(4141*25)}{25*9}$

=$\frac{28,215+103,525}{225}$

=$\frac{131,740}{225}$

=$\frac{26,348}{45}$

=$585.51111$

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.

$585\frac{23}{45}$

Therefore, fractional part of the mixed number is $\frac{23}{45}$.