To divide fractions, you invert the second fraction (flipping the numerator and denominator) and then multiply them together.
The equation for dividing fractions is:
a/b ÷ c/d = (a/b) * (d/c)
Now let's divide and simplify -2 1/7 ÷ -1/2:
First, convert -2 1/7 into an improper fraction:
-2 1/7 = -15/7
Now we can rewrite the expression:
-15/7 ÷ -1/2 = (-15/7) * (-2/1)
Multiply the numerators and denominators together:
(-15 * -2) / (7 * 1)
This simplifies to:
30/7
So, -2 1/7 ÷ -1/2 simplifies to 30/7.