Question

question
determine the fraction that is equivalent to the repeating decimal 0.\overline{73}.
select the correct answer below:
\\(\frac{73}{100}
\\(\frac{73}{99}
\\(\frac{737}{999}
\\(\frac{73}{90}

Explanation:

Step1: Let x = 0.7373...

$x = 0.\overline{73}$

Step2: Multiply x by 100

$100x=73.7373...$

Step3: Subtract x from 100x

$100x - x=73.7373... - 0.7373...$
$99x = 73$

Step4: Solve for x

$x=\frac{73}{99}$

Answer:

$\frac{73}{99}$