Question

question convert the following repeating decimal to a fraction in simplest form..63 answer attempt 4 out of 5

Explanation:

Step1: Let x = 0.6363...

$x = 0.\overline{63}$

Step2: Multiply by 100

$100x=63.\overline{63}$

Step3: Subtract x from 100x

$100x - x=63.\overline{63}- 0.\overline{63}$
$99x = 63$

Step4: Solve for x

$x=\frac{63}{99}$

Step5: Simplify the fraction

$x=\frac{7}{11}$

Answer:

$\frac{7}{11}$