Answer:
Step-by-step explanation:
1). [tex]8\frac{1}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
= [tex]\frac{33}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
= [tex]\frac{33}{4}\times \frac{4}{3}[/tex]
= 11
2). [tex]3\frac{1}{3}[/tex] ÷ [tex]\frac{10}{3}[/tex]
= [tex]\frac{10}{3}[/tex] ÷ [tex]\frac{10}{3}[/tex]
= [tex]\frac{10}{3}\times \frac{3}{10}[/tex]
= 1
3). [tex]\frac{5}{4}[/tex] ÷ [tex]\frac{1}{4}[/tex]
= [tex]\frac{5}{4}\times \frac{4}{1}[/tex]
= 5
4). [tex]\frac{25}{4}[/tex] ÷ [tex]6\frac{1}{4}[/tex]
= [tex]\frac{25}{4}[/tex] ÷ [tex]\frac{25}{4}[/tex]
= [tex]\frac{25}{4}\times \frac{4}{25}[/tex]
= 1
5). [tex]11\frac{1}{4}[/tex] ÷ [tex]\frac{9}{4}[/tex]
= [tex]\frac{45}{4}[/tex] ÷ [tex]\frac{9}{4}[/tex]
= [tex]\frac{45}{4}\times \frac{4}{9}[/tex]
= 5
6). [tex]3\frac{1}{7}[/tex] ÷ [tex]\frac{2}{7}[/tex]
= [tex]\frac{22}{7}[/tex] ÷ [tex]\frac{2}{7}[/tex]
= [tex]\frac{22}{7}\times \frac{7}{2}[/tex]
= 11
Now we can classify the expressions by their quotients as 1, 5 and 11.
