ANSWER
[tex] \frac{113}{18} [/tex]
EXPLANATION
We want to convert
[tex]6 \frac{10}{36} [/tex]
to improper fraction.
Let us first reduce the fractional part to get;
[tex]6 \frac{5}{18} [/tex]
We now multiply 6 by 18 and add 5 and then express the result over 18.
This will give us;
[tex] = \frac{6 \times 18 + 5}{18} [/tex]
[tex] = \frac{108 + 5}{18} [/tex]
[tex] = \frac{113}{18} [/tex]