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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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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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What number is bigger 2.5 or 2.5 repeating?

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

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