๐ Topic Summary
Dividing a whole number by a unit fraction asks the question: "How many of this unit fraction are in the whole number?" For example, $6 \div \frac{1}{2}$ asks, "How many halves are in 6?" We can visualize this by dividing each whole number into halves. Since each whole number then contains 2 halves, 6 whole numbers contain $6 \times 2 = 12$ halves. Therefore, $6 \div \frac{1}{2} = 12$. Visualizing with diagrams can make understanding much easier!
๐ง Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Unit Fraction |
A. The answer to a division problem. |
| 2. Dividend |
B. A fraction where the numerator is 1. |
| 3. Divisor |
C. The number being divided. |
| 4. Quotient |
D. The number by which another number is divided. |
| 5. Visualize |
E. To form a mental image of something. |
Answers: 1-B, 2-C, 3-D, 4-A, 5-E
โ๏ธ Part B: Fill in the Blanks
When we divide a whole number by a unit fraction, we are finding out how many ________ are in the whole ________. For example, in the problem $4 \div \frac{1}{3}$, the ________ is 4 and the ________ is $\frac{1}{3}$. We are trying to figure out how many ________ there are in 4.
Answers: unit fractions, number, dividend, divisor, one-thirds
๐ค Part C: Critical Thinking
Explain why dividing a whole number by a unit fraction results in a larger number than the original whole number. Use an example to support your explanation.