Dividing fractions might seem intimidating, but it's really just multiplying by the reciprocal! To divide one fraction by another, you simply flip the second fraction (the divisor) and then multiply the two fractions together. Remember to simplify your answer if possible!
For example, to solve $\frac{1}{2} \div \frac{3}{4}$, you would flip $\frac{3}{4}$ to get $\frac{4}{3}$, and then multiply $\frac{1}{2} \times \frac{4}{3}$. This equals $\frac{4}{6}$, which simplifies to $\frac{2}{3}$.
Match each term with its definition:
| Term | Definition |
|---|---|
| 1. Numerator | A. The number you are dividing by |
| 2. Denominator | B. The top number in a fraction |
| 3. Reciprocal | C. The bottom number in a fraction |
| 4. Divide | D. To split into equal parts |
| 5. Divisor | E. Flipping a fraction |
To divide fractions, you must find the _______ of the second fraction and then _______. For example, $\frac{2}{5} \div \frac{1}{3}$ becomes $\frac{2}{5}$ _______ $\frac{3}{1}$, which equals _______. Simplify if needed.
Explain in your own words why we flip the second fraction when dividing fractions. What mathematical principle makes this work?
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