The expression is:
[tex]8\frac{1}{8}/\frac{5}{6}[/tex]To divide this quantities, first we need to convert 8 and 1/8 to a fraction.
We do this as follows:
[tex]8\frac{1}{8}=\frac{8\times8+1}{8}=\frac{64+1}{8}=\frac{65}{8}[/tex]As you can see, to make the conversion we multiply the whole number by the denomitar and add the numerator (8x8+1) and divide by the same denominator.
So the division to make is:
[tex]\frac{65}{8}/\frac{5}{6}[/tex]A division between two fractions is made as follows:
So applying this to our division we get:
[tex]\frac{65}{8}/\frac{5}{6}=\frac{65\times6}{8\times5}=\frac{390}{40}=\frac{39}{4}[/tex]The answer is: 39/4, which represented as a mixed fraction is:
[tex]\frac{39}{4}=9\frac{3}{4}[/tex]
