To evaluate Three-halves divided by three-fourths using the described number line approach, we should follow these steps:
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Understanding the Division: Dividing by a fraction (in this case, three-fourths) can be seen as finding out how many times that fraction fits into another number (Three-halves).
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Using the Number Line: The problem conceptually requires us to determine how many lengths of three-fourths fit into three-halves.
Given the statements:
- Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is One-half.
- Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is 2.
- Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is 2.
- Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is One-half.
To solve the problem correctly:
- Start at 0, and move lengths of three-fourths until you reach three-halves. This would mean you are asking, "How many segments of three-fourths do I need to reach three-halves?"
- Three-fourths is equivalent to 1.5 (or 1.75), and three-halves equals 1.5 as well.
Thus, if you move from 0 to 1.5 using lengths of three-fourths, you can actually fit two segments of three-fourths into three-halves, giving you the answer of 2.
Thus, the correct statement is:
- "Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is 2."
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