Answer:
[tex]\frac{3}{25}[/tex]
Step-by-step explanation:
Given that [tex]\overline{0.12}[/tex] is the repeating decimal.
The repeating decimal [tex]\overline{0.12}[/tex] is converted into the fraction as
:
[tex]\overline{0.12} = \frac{3}{x}[/tex]
<=> 0.121212 = [tex]\frac{3}{x}[/tex]
Multiplying both sides by x, we have,
<=> 0.121212x = 3
Dividing both sides by 0.121212, we get:
<=> x = [tex]\frac{3}{0.121212}[/tex]
<=> x = 25
So the fraction represents the decimal [tex]\overline{0.12}[/tex] is: [tex]\frac{3}{25}[/tex]
Hope it well find you well.
