📚 Topic Summary
Dividing mixed numbers involves a few steps. First, you'll need to convert the mixed numbers into improper fractions. Remember, a mixed number has a whole number part and a fractional part (like $2\frac{1}{2}$). An improper fraction has a numerator larger than its denominator (like $\frac{5}{2}$). Once you have improper fractions, dividing is the same as multiplying by the reciprocal of the second fraction! Don't forget to simplify your answer at the end.
🔤 Part A: Vocabulary
Match the term with its definition:
- Term: Mixed Number
- Term: Improper Fraction
- Term: Reciprocal
- Term: Numerator
- Term: Denominator
- Definition: The bottom number of a fraction.
- Definition: A fraction where the numerator is greater than or equal to the denominator.
- Definition: A number expressed as an integer and a fraction.
- Definition: The top number of a fraction.
- Definition: The result of flipping a fraction (e.g., the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$).
(Match the correct term to its definition.)
✍️ Part B: Fill in the Blanks
Complete the sentences with the correct words:
To divide mixed numbers, first convert them to ________ fractions. Then, instead of dividing, you ________ by the ________ of the second fraction. Finally, ________ your answer if possible.
🤔 Part C: Critical Thinking
Explain, in your own words, why we need to convert mixed numbers to improper fractions before dividing. What problems might arise if we try to divide them directly?