Answer:
The fraction will be
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
By simple process of elimination and by working backwards you know that the final fraction must be equal to
[tex] \frac{2}{3} [/tex]
therefore, by experimentation, you find that the final fraction must be
[tex] \frac{10}{15} [/tex]
for 9 to be successfully added to both numerator and denominator. if you take 9 from both, you are given
[tex] \frac{1}{6} [/tex]
which fits with the numerator being 5 less than the denominator making this the fraction