Answer:
[tex]\frac{22}{30} = \frac{11}{15}[/tex]
and
[tex]\frac{176}{7} = 25 \frac{1}{7}[/tex]
Step-by-step explanation:
First make all the fractions into improper fractions
[tex]1\frac{5}{6} = \frac{11}{6} \\\\2\frac{1}{2} = \frac{5}{2} \\\\3\frac{1}{7} = \frac{22}{7}[/tex]
After doing that put them back into the problems
Problem 1)
[tex]1\frac{5}{6}[/tex] ÷ [tex]2\frac{1}{2}[/tex] , plug in the improper fractions
[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{2}[/tex]
to divide, you need to flip the second fraction and multiply
[tex]\frac{11}{6}[/tex]· [tex]\frac{2}{5}[/tex] = [tex]\frac{22}{30}[/tex]
then reduce
[tex]\frac{22}{30} = \frac{11}{15}[/tex]
Problem 2)
[tex]3\frac{1}{7}[/tex]÷ [tex]\frac{1}{8}\\[/tex]
Plug in improper fraction
[tex]\frac{22}{7}[/tex] ÷ [tex]\frac{1}{8}\\[/tex]
Then flip second fraction and multiply
[tex]\frac{22}{7}[/tex] · [tex]\frac{8}{1}[/tex]
Multiply
[tex]\frac{176}{7}[/tex]
Reduce, or make it a mixed number
[tex]\frac{176}{7} = 25 \frac{1}{7}[/tex]