Simplify the following expression: (2/7) / (5/6).

A. 2/5

B. 35/15

C. 5/21

D. 12/35

To simplify the expression (2/7) / (5/6), you can follow the process of dividing fractions, which involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of (5/6) is (6/5). Therefore, the expression becomes:

(2/7) * (6/5).

Now, you can multiply the numerators together and the denominators together:

Numerator: 2 * 6 = 12

Denominator: 7 * 5 = 35

This results in the fraction 12/35.

Thus, the simplified form of (2/7) / (5/6) is 12/35, which is the correct answer.

By following the multiplication of fractions and simplifying, you arrive directly at the final answer, demonstrating a clear approach to working with fractional division.

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