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Hana is thinking of a fraction equivalent to \( \frac{5}{9} \), with a numerator greater than 18 and a denominator less than 40. 

To solve this, we need to find an equivalent fraction to \( \frac{5}{9} \) that meets the conditions. Two fractions are equivalent if they can be reduced to the same simplest form.

First, let’s find multiples of \( \frac{5}{9} \) by multiplying both the numerator and denominator by the same integer.

Starting with multiples of 5 and 9:

- \( \frac{5 \times 4}{9 \times 4} = \frac{20}{36} \)

Now, check the conditions:

- The numerator is 20 (greater than 18) ✔️
- The denominator is 36 (less than 40) ✔️

So, the fraction Hana is thinking of is \( \frac{20}{36} \).

Would you like further details or have any other questions?

Here are 5 related questions to explore:
1. What are other equivalent fractions to \( \frac{5}{9} \) with a numerator greater than 18?
2. How do you find equivalent fractions for any given fraction?
3. Can you express \( \frac{5}{9} \) as a decimal?
4. How do you simplify fractions to their lowest terms?
5. What is the greatest common divisor of 5 and 9?

**Tip:** To find equivalent fractions, multiply or divide both the numerator and denominator by the same non-zero number.

Hana is thinking of a fraction equivalent to 5/9. The numerator is greater than 18 and the denominator is less than 40. What fraction is Hana thinking of?

Discover how to find a fraction equivalent to 5/9 with a numerator greater than 18 and a denominator less than 40. Explore the concept of equivalent fractions and learn how to multiply both the numerator and denominator by the same number to meet the given conditions. Suitable for middle school students (Grades 6-8).

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