Step 1

Let's write down these fractions:

Step 2

Notice that 1 ³/₇ is a mixed fraction. We need to convert it into an improper fraction before we can start dividing.

Step 3

The conversion is shown below:

After the conversion, we have:

Step 4

Now, we can divide these fractions. To do so, we change the division to multiplication, provided that we also change the divisor to its reciprocal.

Step 5

After these changes, we can just multiply the fractions together.

Step 6

Here, we have the resulting fraction as ⁷/₄₅. Clearly, the answer is A.