[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]
[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]
[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]
[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{45}{10}}[/tex]
[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]
[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]
[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{9}{2}}[/tex]
[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]