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Daniel [21]
4 years ago
7

2.67 repeating as a fraction in simplified

Mathematics
1 answer:
maksim [4K]4 years ago
4 0

Answer:

2.\overline {67}=\frac{265}{99}

Step-by-step explanation:

Given

2.\overline {67}

Let

x=2.\overline {67}

x=2.676767...

100x=100(2.676767...)

100x=267.6767...

100x=265+2.6767...

100x=265+x

99x=265

x=\frac{265}{99}

Therefore,

  • 2.\overline {67}=\frac{265}{99}
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