Question 5362
First change the mixed fractions to improper fractions:
5 {{{5/8 }}}div by 5 {{{5/14}}}


To do this multiply the denominator times the whole number and add the numerator.  Place over the denominator.  


For the first fraction, multiply 8 times 5 and add 5:  {{{45/8}}}
For the second fraction, multiply 14 times 5 and add 5:  {{{75/14}}}


That would be
{{{45/8}}} div by {{{75/14}}}


When you divide, you invert the second number and multiply:
{{{45/8}}}*{{{14/75}}}


Next you can divide out ANY factor of ANY numerator with ANY factor of ANY denominator.  In this case you can divide out a 15 and a 2 factor from numerator and denominator.  Our webmaster Ichudov has some great ways to show this, but alas, I haven't learned it yet.


This is what you end up with: 
When you divide 45 by 15 you get 3.
When you divide 75 by 15 you get 5.
When you divide 14 by 2 you get 7.
When you divide 8 by 2 you get 4:
{{{45/8}}}*{{{14/75}}}
{{{3/4}}}*{{{7/5}}}


Multiply numerator times numerator and denominator times denominator:
{{{3/4}}}*{{{7/5}}}= {{{21/20}}} or 1 {{{1/10}}}


R^2 at SCC