DIVIDING FRACTIONS

The Correct Answer and Explanation is:

Based on the classic math riddle worksheet, the answer is:

High C’s

Here is a detailed explanation of the mathematical process required to solve the problems on the worksheet.

The worksheet requires you to solve a series of fraction division problems to uncover the answer to a riddle. The fundamental rule for dividing fractions is often remembered by the phrase “Keep, Change, Flip.” This method transforms a difficult division problem into a much simpler multiplication problem. Let’s break down this process step by step.

First, you Keep the first fraction in the equation exactly as it is. Nothing about it changes.

Second, you Change the division sign to a multiplication sign. This is the key step that alters the operation you will be performing.

Third, you Flip the second fraction. This means you invert it, making the numerator the new denominator and the denominator the new numerator. This flipped version of the fraction is also known as its reciprocal.

Once you have completed the “Keep, Change, Flip” steps, you are left with a simple fraction multiplication problem. To solve this, you multiply the two numerators together to get the new numerator, and you multiply the two denominators together to get the new denominator.

The final, and very important, step is to simplify the resulting fraction. If the new fraction is improper, where the numerator is larger than the denominator, you should convert it to a mixed number. You must also reduce the fraction to its simplest form by finding the greatest common divisor for both the numerator and denominator and dividing both by that number.

On the worksheet, each problem’s simplified answer corresponds to a letter. By solving each division problem and matching your answer to the key, you can fill in the letters for the riddle, which spells out the punchline: “High C’s,” a clever pun on “high seas.”

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