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The problem states:

**"De una pieza de listón de \( 5 \frac{1}{4} \) m se cortó un trozo de \( 2 \frac{1}{6} \) m. ¿Cuánto mide el trozo sobrante?"**

This is a subtraction problem with mixed fractions. The steps to solve this are as follows:

### Step 1: Convert the mixed numbers into improper fractions.

1. \( 5 \frac{1}{4} \) becomes \( \frac{21}{4} \), because:
   \[
   5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4}
   \]

2. \( 2 \frac{1}{6} \) becomes \( \frac{13}{6} \), because:
   \[
   2 \frac{1}{6} = \frac{2 \times 6 + 1}{6} = \frac{13}{6}
   \]

### Step 2: Find the least common denominator (LCD).

The denominators are 4 and 6. The least common denominator is 12.

### Step 3: Convert the fractions to have the same denominator.

1. \( \frac{21}{4} \) becomes \( \frac{63}{12} \) (by multiplying both numerator and denominator by 3).
2. \( \frac{13}{6} \) becomes \( \frac{26}{12} \) (by multiplying both numerator and denominator by 2).

### Step 4: Subtract the two fractions.

\[
\frac{63}{12} - \frac{26}{12} = \frac{63 - 26}{12} = \frac{37}{12}
\]

### Step 5: Convert back to a mixed number.

\[
\frac{37}{12} = 3 \frac{1}{12}
\]

Thus, the remaining piece of ribbon is **3 \( \frac{1}{12} \) meters**.

Would you like further clarification on any step? Here are some related questions:

1. How can we add or subtract mixed numbers directly without converting to improper fractions?
2. What are other methods to find the least common denominator?
3. How do you multiply or divide fractions with different denominators?
4. How would you solve if the fractions involved had larger numerators or denominators?
5. Can you convert improper fractions directly into decimals?

**Tip:** Always simplify fractions when possible to make calculations easier!

De una pieza de listón de 5 1/4 m se cortó un trozo de 2 1/6 m. ¿Cuánto mide el trozo sobrante?

Learn how to subtract mixed numbers with a step-by-step solution to find the leftover length of a ribbon. This problem involves fractions, mixed numbers, and subtraction of fractions, suitable for Grade 5-6 students.

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