kieranegfoster kieranegfoster

25-01-2021
Mathematics

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Express 0.62727272 as a fraction

Respuesta :

elcharly64 elcharly64

25-01-2021

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]

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