Answer:
- 16/7
- 7/16 — the reciprocal of the above
Step-by-step explanation:
[tex]\dfrac{\left(\dfrac{2}{7}\right)}{\left(\dfrac{1}{8}\right)}=\dfrac{2}{7}\cdot\dfrac{8}{1}=\dfrac{2\cdot 8}{7\cdot 1}\\\\=\boxed{\dfrac{16}{7}}[/tex]
When you swap the two fractions, you have made the reciprocal of their ratio. The simplest form of (1/8)/(2/7) is 7/16, the reciprocal of 16/7.
