Answer:
[tex]\frac{2}{35}[/tex]
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
The reciprocal of [tex]\frac{5}{2}[/tex] is [tex]\frac{2}{5}[/tex].
Therefore:
[tex]\frac{1}{7}[/tex] [tex]÷[/tex] [tex]\frac{5}{2}[/tex] [tex]=[/tex] [tex]\frac{1}{7}[/tex] [tex]×[/tex] [tex]\frac{2}{5}[/tex]
[tex]= \frac{1 × 2}{7 × 5}[/tex]
[tex]= \frac{2}{35}[/tex]
