Answer:
1 [tex]\frac{39}{42}[/tex]
Step-by-step explanation:
The first step is to change the mixed numbers to improper fractions
8 [tex]\frac{1}{10}[/tex] = [tex]\frac{81}{10}[/tex] and
4 [tex]\frac{1}{5}[/tex] = [tex]\frac{21}{5}[/tex]
We now have
[tex]\frac{81}{10}[/tex] ÷ [tex]\frac{21}{5}[/tex]
To perform the division.
Leave the first fraction
Change division to multiplication
Turn the second fraction upside down
Simplify if possible
Hence
[tex]\frac{81}{10}[/tex] × [tex]\frac{5}{21}[/tex] ← cancel the 5 and 10
= [tex]\frac{81}{2}[/tex] × [tex]\frac{1}{21}[/tex]
= [tex]\frac{81(1)}{2(21)}[/tex]
= [tex]\frac{81}{42}[/tex] = 1 [tex]\frac{39}{42}[/tex]
