Answer:
[tex]1\frac{2}{3} [/tex]
Step-by-step explanation:
We want to simplify:
[tex]2 \frac{1}{2} \div 1 \frac{3}{6} [/tex]
This is the same as:
[tex]2 \frac{1}{2} \div 1 \frac{1}{2} [/tex]
Now let us convert the mixed numbers to improper fractions.
[tex] \frac{5}{2} \div \frac{3}{2} [/tex]
We multiply by the reciprocal of the second fraction to get:
[tex] \frac{5}{2} \times \frac{2}{3} [/tex]
Cancel out the common factors to obtain:
[tex] \frac{5}{3} = 1 \frac{2}{3} [/tex]