Question

2.67 repeating as a fraction in simplified

Answer 1

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,

• $2.\overline {67}=\frac{265}{99}$