Answer:
The simplest form is [tex]\frac{4}{1}[/tex] or 4
Solution:
Given, [tex]8\frac{1}{6}[/tex] divided by [tex]2\frac{1}{24}[/tex]
[tex]8\frac{1}{6}[/tex][tex]\div[/tex] [tex]2\frac{1}{24}[/tex]
[tex]\frac{8\times6+1}{6}[/tex][tex]\div[/tex] [tex]\frac{2\times24+1}{24}[/tex]
we get,
[tex]\frac{49}{6}\div\frac{49}{24}[/tex]
When two terms are in division, we have to reciprocate the second term,
The reciprocal of [tex]\frac{49}{24} is \frac{24}{49}[/tex]
Substituting the reciprocal form of[tex]\frac{49}{24}[/tex] in the equation we get,
[tex]\frac{49}{6}\times \frac{24}{49}[/tex]
On dividing the possible terms we get,
[tex]\frac{4}{1}[/tex]
The simplest form of the given value is [tex]\frac{4}{1}[/tex] or 4
