Answer:
[tex]3 \frac{13}{44} [/tex]
Step-by-step explanation:
First let's write our equation
[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]
Now let's make them improper fractions
[tex] \frac{139}{10} \div \frac{7}{2} [/tex]
Now since we're dividing we with fractions we do the reciprocal and multiply
[tex] \frac{139}{10} \times \frac{2}{7} [/tex]
or
[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]