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What number is bigger 2.5 or 2.5 repeating?

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Answer to a math question What number is bigger 2.5 or 2.5 repeating?

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Frederik
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103 Answers
Given numbers: 2.5 and 2.5 repeating

1. Convert 2.5 to a fraction:
2.5 = 2 + \frac{5}{10} = 2 + 0.5 = 2.5

2. Convert 2.5 repeating to a fraction:
Let \(x = 2.5\overline{5}\)
Multiply both sides by 10:
10x = 25.5\overline{5}

Subtract the original \(x\) from this equation:
10x - x = 25.5\overline{5} - 2.5\overline{5}
9x = 23

Solve for \(x\):
x = \frac{23}{9}
2.5\overline{5} = \frac{23}{9}

3. Compare the numbers:
2.5 = 2.5
2.5\overline{5} > 2.5

Therefore,
2.5\overline{5} is greater than 2.5

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