Question

Use the Multiplying Fraction Number Sense Notes on google classroom to help you compare the problems. Use >, <, or = to fill in the blanks. You don’t need to find the actual answer.

Example:
1/5 x 1 1/5 ______ 1 1/5
Answer: < since 1/5 is less than 1 our answer will be less than the number we started with.

3 1/2 x 2 2/3 ______ 2 2/3
Answer:

4 3/5 x 4/4 _______ 4 3/5
Answer:

1/3 x 2 2/5 _______ 2 2/5
Answer:

1 1/12 x 1 3/4 _______ 1 3/4
Answer:

Answer 1

To compare the given problems, we need to consider how multiplying by a fraction or a whole number affects the size of the number. Here's the analysis for each problem:

1. **3 1/2 x 2 2/3 ______ 2 2/3**
- Since 3 1/2 is greater than 1, multiplying it by 2 2/3 (which is also greater than 1) will yield a product greater than 2 2/3.
- **Answer: >**

2. **4 3/5 x 4/4 _______ 4 3/5**
- Multiplying by 4/4 is like multiplying by 1, which does not change the value. So the two sides are equal.
- **Answer: =**

3. **1/3 x 2 2/5 _______ 2 2/5**
- Since 1/3 is less than 1, multiplying it by 2 2/5 (which is greater than 1) will yield a product that is less than 2 2/5.
- **Answer: <**

4. **1 1/12 x 1 3/4 _______ 1 3/4**
- Since 1 1/12 is greater than 1, multiplying it by 1 3/4 (which is also greater than 1) will yield a product that is greater than 1 3/4.
- **Answer: >**

Here are the final answers:

1. **3 1/2 x 2 2/3 ______ 2 2/3** **Answer: >**
2. **4 3/5 x 4/4 _______ 4 3/5** **Answer: =**
3. **1/3 x 2 2/5 _______ 2 2/5** **Answer: <**
4. **1 1/12 x 1 3/4 _______ 1 3/4** **Answer: >**