**Answer:**

Only 1st option **Negative three-fourths divided by Negative two-thirds** has **positive quotient.**

**Option A** is correct.

**Step-by-step explanation:**

We will solve to find out Which expression has a positive quotient.

We know the division rule: and

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

The quotient is **positive**.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

The quotient is **negative.**

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

The quotient is **negative.**

4) Negative 6 divided by Five-thirds

The quotient is **negative.**

So, only 1st option **Negative three-fourths divided by Negative two-thirds** has **positive quotient.**

**Option A** is correct.