Divide ^{3}/_{5} with ^{2}/_{7}. Give the answer in the simplest form.

Let's write down these fractions:

To solve this, we change the division to multiplication. We can do so provided that we also change the divisor to its reciprocal.

After the change, we can just multiply the fractions together.

Here, we have the resulting fraction as 2 ^{1}/_{10}. Clearly, the answer is B.

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