Question 317669
One easy way to find a number between two numbers is to simply average the two given numbers. Ie add them up and divide by 2:


{{{(9/8+10/8)/2=((9+10)/8)/2=(19/8)/2=(19/8)(1/2)=(19*1)/(8*2)=19/16}}}



So the number {{{19/16}}}, which is the mixed number {{{1&3/16}}}, is in between the numbers {{{9/8}}} and {{{10/8}}}



Other ways would involve you picking a number between 9 and 10, say 9.7, and writing that as a fraction over 8 like this: {{{9.7/8=(97/10)/8=(97/10)*(1/8)=97/80}}}


So {{{97/80}}}, which is the mixed number {{{1&17/80}}}, is another number in between the numbers {{{9/8}}} and {{{10/8}}}