The result of experiment in mixed fraction form is [tex]117\frac{151}{200}[/tex] particles per milliliter.
To convert decimal to fraction, we the decimal number over 1 and multiply both the numerator and denominator by power of 10.
Given the data in the question;
In 117.755, we have 3 numbers to the right of the decimal point.
We have 10³ which is the same as 1000.
[tex]\frac{117.755}{1} * \frac{1000}{1000}\\\\\frac{117755}{1000}[/tex]
Next, we divide both the numerator and the denominator with their Greatest Common Factor.
Greatest Common Factor of 117755 and 1000 is 5
[tex]\frac{\frac{117755}{5} }{\frac{1000}{5} } = \frac{23551}{200}[/tex]
Now, we can get 200 out of 23551 exactly 117 times, since what remained is not divisible by 200, we leave it as a remainder [151].
We can now write this in a mixed fraction form as;
[tex]117\frac{151}{200}[/tex]
Therefore, the result of experiment in mixed fraction form is [tex]117\frac{151}{200}[/tex] particles per milliliter.
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