https://file.aiquickdraw.com/mathbot/file/1729429847898as6fsm7j.jpg

The mathematical expression shown in the image is:

\[
14.1 \div \left( \frac{1}{3} + 75\% \right)
\]

### Steps to solve:

1. **Convert percentages to decimal:**
   \[
   75\% = 0.75
   \]

2. **Simplify the expression inside the parentheses:**
   \[
   \frac{1}{3} + 0.75 = \frac{1}{3} + \frac{3}{4}
   \]
   First, convert the fractions to a common denominator. The least common denominator (LCD) of 3 and 4 is 12. So:
   \[
   \frac{1}{3} = \frac{4}{12}, \quad \frac{3}{4} = \frac{9}{12}
   \]
   Now add the two fractions:
   \[
   \frac{4}{12} + \frac{9}{12} = \frac{13}{12}
   \]

3. **Now, perform the division:**
   \[
   14.1 \div \frac{13}{12}
   \]
   Dividing by a fraction is equivalent to multiplying by its reciprocal:
   \[
   14.1 \times \frac{12}{13} = \frac{14.1 \times 12}{13} = \frac{169.2}{13} = 13.015
   \]

### Final Answer:
\[
14.1 \div \left( \frac{1}{3} + 75\% \right) = 13.015
\]

Would you like further details or clarification on any step?

Here are some follow-up questions:
1. How would you solve this problem if you changed 75% to another value, say 50%?
2. What happens if the fraction \(\frac{1}{3}\) is changed to another fraction, like \(\frac{2}{5}\)?
3. How do you handle division by a fraction in general?
4. What if instead of division, the operation was multiplication?
5. Can you express 14.1 in terms of another fraction before proceeding with the operation?

**Tip:** When dividing by a fraction, always remember that it's equivalent to multiplying by its reciprocal!

Learn how to solve the division problem 14.1 ÷ (1/3 + 75%) by converting percentages to decimals, adding fractions, and dividing by a fraction. This example demonstrates key arithmetic concepts suitable for students in Grades 6-8.

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