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The image you uploaded contains a math problem regarding the cutting of wire from a roll. The problem asks:

"How many lengths of wire, each \( \frac{6}{8} \) inches long, can be cut from a 25 ft roll?"

To solve this, we first need to convert the length of the roll from feet to inches since the lengths of the wire are given in inches. There are 12 inches in a foot, so:

\[ 25 \text{ ft} = 25 \times 12 \text{ in} = 300 \text{ in} \]

Now, \( \frac{6}{8} \) inches can be simplified to \( \frac{3}{4} \) inches.

Next, we'll divide the total number of inches in the roll by the length of each piece of wire:

\[ \frac{300 \text{ in}}{\frac{3}{4} \text{ in}} = 300 \times \frac{4}{3} = 400 \]

So, 400 lengths of wire, each \( \frac{3}{4} \) inches long, can be cut from a 25 ft roll.

Would you like to know more about this problem or need help with another question? Here are a few more questions you might consider:
1. What if the length of each wire was changed to \( \frac{1}{2} \) inch? How many wires could be cut?
2. What is the longest wire that can be cut from a 25 ft roll?
3. If only 350 wires are cut, how many inches of wire will remain?
4. How would the answer change if the roll was 30 ft instead of 25 ft?
5. Can the problem be modified to involve metric measurements?

Tip: When solving problems involving conversions, always make sure your units are consistent throughout your calculations.

How many lengths of wire, each 6/8 inches long, can be cut from a 25 ft roll? Enter a whole number of wires.

Solve the problem of how many 6/8 inch pieces of wire can be cut from a 25 ft roll. This detailed step-by-step guide covers unit conversion, fraction simplification, and division. Ideal for middle school math students (Grades 6-8).

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