Answer:
[tex]\frac{5}{18}[/tex]
Step-by-step explanation:
When dividing fractions, the formula is simple: Keep Flip Change (KFC)
So keep [tex]\frac{1}{4}[/tex] change your division sign to a multiplication sign, and flip [tex]\frac{9}{10}[/tex] so it becomes [tex]\frac{10}{9}[/tex].
[tex]\frac{1}{4}[/tex]·[tex]\frac{10}{9}[/tex]=[tex]\frac{10}{36}[/tex]
Then you need to reduce your fraction to simplest form.
[tex]\frac{5}{18}[/tex]