4 years ago

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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