Dividing mixed numbers practice quiz for Grade 5

📚 Topic Summary

Dividing mixed numbers involves a few key steps. First, you 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 or equal to its denominator (like $\frac{5}{2}$). Then, instead of dividing, you multiply by the reciprocal of the second fraction. Finally, simplify your answer if possible!

Let's say you want to divide $2\frac{1}{2}$ by $1\frac{1}{3}$. First, convert them to improper fractions: $2\frac{1}{2} = \frac{5}{2}$ and $1\frac{1}{3} = \frac{4}{3}$. Now, instead of dividing $\frac{5}{2}$ by $\frac{4}{3}$, multiply $\frac{5}{2}$ by the reciprocal of $\frac{4}{3}$, which is $\frac{3}{4}$. So, $\frac{5}{2} \times \frac{3}{4} = \frac{15}{8}$. Convert the improper fraction $\frac{15}{8}$ back to a mixed number, and you get $1\frac{7}{8}$.

🔤 Part A: Vocabulary

• ➗ Match the term with its definition:
• 🧾 Terms: Mixed Number, Improper Fraction, Reciprocal, Numerator, Denominator
• ✨ Definitions:
1. The number above the fraction bar.
2. The number below the fraction bar.
3. A fraction where the numerator is greater than or equal to the denominator.
4. Flipping a fraction (e.g., the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$).
5. A number with a whole number part and a fractional part.

✍️ Part B: Fill in the Blanks

To divide mixed numbers, first convert them to ________ ________. Then, instead of dividing, you ________ by the ________ of the second fraction. Finally, ________ your answer if possible.

🤔 Part C: Critical Thinking

Imagine you have $3\frac{1}{2}$ pizzas, and you want to divide them equally among 5 friends. How much pizza will each friend get? Show your work!