Given the information on the proble, we have to substract 2/3 cups from the 9/10 cups that the jar contains. We can use the following general rule for the substraction of fractions:
![\begin{gathered} (a)/(b)-(c)/(d)=(a\cdot d-b\cdot c)/(b\cdot d) \\ b,d\\e0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/20rrulyx9ryplhkw4xpio2757yt06iihpj.png)
then, in this case, we have the following:
![(9)/(10)-(2)/(3)=(9\cdot3-10\cdot2)/(10\cdot3)=(27-20)/(30)=(7)/(30)](https://img.qammunity.org/2023/formulas/mathematics/college/c9370yrvuk64sqtmv0vmqnrldk5qtwu8cl.png)
therefore, there are 7/30 cups of honey left in the jar