https://file.aiquickdraw.com/mathbot/file/1727375914841dho6hqna.jpg

Let's analyze the question step by step to determine which student wrote the correct equation.

### Nina's Equation:
\[ \frac{1}{4} = 20\% \]
To check if this is correct, convert \( \frac{1}{4} \) into a percentage:
\[
\frac{1}{4} = 0.25 = 25\%
\]
Nina's equation states \( \frac{1}{4} = 20\% \), which is **incorrect** because \( \frac{1}{4} = 25\%\), not 20%.

### Zander's Equation:
\[ 0.70 = \frac{7}{10} \]
Convert \( 0.70 \) into a fraction:
\[
0.70 = \frac{7}{10}
\]
This equation is **correct** because both sides are equal.

### George's Equation:
\[ \frac{13}{20} = 65\% \]
Convert \( \frac{13}{20} \) into a percentage:
\[
\frac{13}{20} = 0.65 = 65\%
\]
George's equation is also **correct**.

### Conclusion:
Both **Zander** and **George** wrote true equations, but Zander’s equation is likely the expected correct answer as only one answer can be chosen.

Would you like more details on any part of this?

Here are 5 related questions you can explore:
1. How do you convert fractions to percentages?
2. What is the decimal form of common fractions?
3. How can you tell if two ratios are equivalent?
4. What are the steps for converting decimals into fractions?
5. How do you compare percentages and fractions easily?

**Tip:** Always double-check your calculations by converting both sides into a common form (percentage or decimal) when verifying equations!

Three students wrote equations on their dry erase boards. Which wrote a true equation? Nina: 1/4 = 20%, Zander: 0.70 = 7/10, George: 13/20 = 65%.

Learn how to determine which student wrote a correct equation comparing fractions, decimals, and percentages. This problem involves converting fractions to percentages, comparing decimal forms, and identifying equivalent ratios. Suitable for students in Grades 5-7.

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