Answer:
[tex]\displaystyle \frac{69}{110}[/tex]
Step-by-step explanation:
Decimal to Fraction Conversion
We have the number
N=0.62727272...
Multiplying by 10:
10N=6.272727
Multiplying by 100:
1000N=627.2727
Subtracting the last two equations, the periodic part cancels out:
1000N - 10N = 627 - 6
Operating:
990N = 621
Dividing by 9:
110N = 69
Dividing by 110:
[tex]\displaystyle N=\frac{69}{110}[/tex]
