What is the result of (15 ÷ 1/5) - 9?

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To find the result of (15 ÷ 1/5) - 9, we first need to simplify the division component.

When you divide a number by a fraction, you can multiply that number by the reciprocal of the fraction. Therefore, dividing 15 by 1/5 is equivalent to multiplying 15 by 5 (the reciprocal of 1/5).

So, we calculate:

15 ÷ 1/5 = 15 * 5 = 75.

Next, we take that result and subtract 9:

75 - 9 = 66.

This means the final answer to the calculation is 66. This aligns with the option that was provided as the answer, confirming that it is indeed the correct result of the expression.

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