Answer:
[tex]\frac{45}{98}[/tex]
Step-by-step explanation:
We have [tex]-\frac{3}{7} /(-1 \frac{1}{14} )[/tex]
The first thing that we can do is to remove the mixed number
[tex]-\frac{3}{7} /(-\frac{15}{14} )[/tex]
When you divide by a fraction, you can instead multiply by the reciprocal, which is that same fraction flipped upside down.
[tex]-\frac{3}{7} *(-\frac{15}{14} )[/tex]
Now, we can multiply across the top and the bottom
[tex]\frac{45}{98}[/tex]