Question

Express 0.62727272 as a fraction

Answer 1

`\displaystyle (69)/(110)`

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:

`\displaystyle N=(69)/(110)`