Question

Cups of Tofu Cups of Sichuan chilis
3
× ?
4
1
​

6


3 · ? =
4
1
​


4
1
​
÷ 3 = ?

4
1
​
÷
1
3
​
= ?

·
=

Answer 1

It seems like you are working with fractions and possibly setting up a ratio or a proportion with cups of tofu and cups of Sichuan chilis. Let's break down the equations step by step.

1. **Understanding the equations**:
- You have "3 cups of Tofu" and "4 cups of Sichuan chilis".
- You are looking for some unknown quantity represented by "?" that likely corresponds to these two quantities in a fractional manner.

2. **Setting up the equations**:
- The first equation you wrote down is:
\[
3 \cdot ? = 4 \frac{1}{6}
\]
- To find "?", we can rewrite \( 4 \frac{1}{6} \) as an improper fraction:
\[
4 \frac{1}{6} = \frac{25}{6}
\]
- Now we can set up the equation:
\[
3 \cdot ? = \frac{25}{6}
\]
- To solve for "?", divide both sides by 3:
\[
? = \frac{25}{6} \div 3 = \frac{25}{6} \cdot \frac{1}{3} = \frac{25}{18}
\]

3. **Further calculations**:
- Next, you have:
\[
4 \frac{1}{6} \div 3 = ?
\]
- Using the same improper fraction for \( 4 \frac{1}{6} \):
\[
? = \frac{25}{6} \div 3 = \frac{25}{6} \cdot \frac{1}{3} = \frac{25}{18}
\]
- So this gives us the same result.

4. **The next part**:
- Now looking at:
\[
4 \frac{1}{6} \div \frac{1}{3} = ?
\]
- This can be simplified as:
\[
? = \frac{25}{6} \div \frac{1}{3} = \frac{25}{6} \cdot 3 = \frac{75}{6} = \frac{25}{2} = 12 \frac{1}{2}
\]

5. **Final Summary**:
- The unknown value (?) in the first part is:
\[
\frac{25}{18}
\]
- The result for \( 4 \frac{1}{6} \div 3 \) gives:
\[
\frac{25}{18}
\]
- Finally, the result for \( 4 \frac{1}{6} \div \frac{1}{3} \) is:
\[
12 \frac{1}{2} \text{ or } \frac{25}{2}
\]

If you provide further context or specific requirements, I will be happy to assist you!