To add \( \frac{5}{4} + \left(-\frac{2}{4}\right) \) using a number line, we can follow these steps:
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Convert the fractions to a decimal or mixed number:
- \( \frac{5}{4} = 1.25 \) or \( 1 \frac{1}{4} \)
- \( -\frac{2}{4} = -0.5 \) or \( -\frac{1}{2} \)
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Locate \( \frac{5}{4} \) on the number line:
- \( 1 \frac{1}{4} = 1.25 \) is slightly to the right of 1.
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Move to the left by \( \frac{2}{4} \) or \( 0.5 \):
- From \( 1.25 \) (or \( \frac{5}{4} \)), if we subtract \( 0.5 \) (or \( -\frac{2}{4} \)), we move half a unit to the left.
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Calculate the position:
- \( 1.25 - 0.5 = 0.75 \)
- In fractions, \( \frac{5}{4} - \frac{2}{4} = \frac{3}{4} \).
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Final result:
- So, \( \frac{5}{4} + \left(-\frac{2}{4}\right) = \frac{3}{4} \).
On the number line, you would start at \( \frac{5}{4} \), move \( 0.5 \) units to the left, and end up at \( \frac{3}{4} \).