The question asks:
"Write to explain how Mateo can use the number line to find an equivalent fraction with a denominator less than 6."

Explanation:

Mateo can use the number line to visualize fractions and find equivalent ones by following these steps:

1. Place the original fraction on the number line:
   Locate the fraction's position on the number line by dividing the section between 0 and 1 into equal parts based on its denominator. For example, for the fraction $\frac{3}{4}$, divide the section between 0 and 1 into 4 equal parts, and mark the third part.

2. Determine equivalent fractions:
   Look for fractions with a denominator less than 6 (e.g., 2, 3, 4, or 5) that fall on the same position on the number line.

   For instance:

   • To find an equivalent fraction for $\frac{3}{4}$ with a denominator of 4, observe that it remains $\frac{3}{4}$.
   • For a denominator of 2, simplify $\frac{3}{4}$ to $\frac{1}{2}$ by checking the closest matching point.

3. Adjust the number line:
   Re-divide the number line into fewer segments corresponding to smaller denominators, and locate equivalent fractions visually. Fractions are equivalent if they share the same position on the number line.

Would you like a step-by-step example for a specific fraction? Let me know!

Here are 5 related questions you can explore:

1. How can Mateo find a fraction equivalent to $\frac{5}{6}$ using a number line?
2. What are some examples of fractions that have the same value as $\frac{2}{3}$ but a smaller denominator?
3. How can simplifying fractions help in identifying equivalent fractions?
4. Why is a number line a helpful tool for understanding fractions?
5. What happens if a fraction cannot have an equivalent with a smaller denominator?

Tip: Use fraction bars or number line diagrams to make understanding equivalent fractions easier.