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The problem asks us to determine the length that should be cut from tubes of 5' 11 3/16" in order to get a length of 5' 10 1/4", which is required for the heat exchanger.

### Step-by-step solution:

1. **Convert both lengths to inches:**
   - The first tube length is **5 feet 10 1/4 inches**.
   - The second tube length is **5 feet 11 3/16 inches**.

   Convert these lengths into inches:
   \[
   1 \, \text{foot} = 12 \, \text{inches}
   \]

   For 5' 10 1/4":
   \[
   5 \times 12 + 10 + \frac{1}{4} = 60 + 10 + 0.25 = 70.25 \, \text{inches}
   \]

   For 5' 11 3/16":
   \[
   5 \times 12 + 11 + \frac{3}{16} = 60 + 11 + 0.1875 = 71.1875 \, \text{inches}
   \]

2. **Find the difference in length:**
   To determine how much length should be cut:
   \[
   71.1875 - 70.25 = 0.9375 \, \text{inches}
   \]
   This equals **15/16 inches**.

### Conclusion:
You need to cut **15/16 inches** from the tube of 5' 11 3/16" to obtain the correct length of 5' 10 1/4".

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Would you like any further details or clarifications? Here are some related questions:

1. How do you convert feet and inches to decimal inches?
2. Can you explain how to work with fractions when measuring?
3. How can you ensure precision when cutting materials like tubes?
4. Why is it important to use the exact measurements in heat exchangers?
5. What is the difference between using fractions and decimals in measurements?

**Tip:** When working with measurements in feet and inches, always convert everything into a common unit (like inches) to make calculations easier.

Un nombre de tubes de 5' 10 1/4" sont requis pour réparer un échangeur de chaleur, il y a seulement des tubes de longueur de 5' 11 3/16" de disponible. Quelle longueur devrait être coupée sur les tubes pour obtenir la bonne dimension ?

Learn how to calculate the difference in length between two measurements, 5' 11 3/16" and 5' 10 1/4", by converting feet and inches to a common unit and performing subtraction. This step-by-step solution is ideal for Grades 6-8 and involves working with fractions.

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