Answer:
The fraction will be
![(1)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1hfsyqujpiw8kz1nwo0zeow75fj0n2oyv6.png)
Explanation:
By simple process of elimination and by working backwards you know that the final fraction must be equal to
![(2)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jgft8n5xwx5uidfnxss9gbutm3s8nfmtko.png)
therefore, by experimentation, you find that the final fraction must be
![(10)/(15)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ndmxnbjorg6dtaxrv7w2iz4gv2i01buaq5.png)
for 9 to be successfully added to both numerator and denominator. if you take 9 from both, you are given
![(1)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1hfsyqujpiw8kz1nwo0zeow75fj0n2oyv6.png)
which fits with the numerator being 5 less than the denominator making this the fraction