Question 109183
To find the smallest fraction, simply get every fraction to have the same denominator. So that means we need to get every denominator to the LCD of 16


So let's multiply {{{5/8}}} by {{{2/2}}} to get 


{{{(5/8)(2/2)=10/16}}}



Now let's multiply {{{3/4}}} by {{{4/4}}} to get 


{{{(3/4)(4/4)=12/16}}}



Finally let's multiply {{{7/8}}} by {{{2/2}}} to get 


{{{(7/8)(2/2)=14/16}}}



So now we have the list


{{{10/16}}}, {{{12/16}}}, {{{9/16}}}, and {{{14/16}}}



Now just compare the numerators to see which one is the smallest.


So we can clearly see that 9 is the smallest numerator, so {{{9/16}}} is the smallest fraction. So the answer is {{{9/16}}}