Question

What is the equivalent decimal to this praction 5/45​

Answer 1

`0.\overline{1}`

Explanation:

The fraction reduces to 1/9. Since you're familiar with the decimal equivalents of fractions with denominators less than 10, you know this has the decimal equivalent:

1/9 = 0.11111111...(repeating)

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Even if you're not familiar with the equivalent of 1/9, you probably know that ...

1/3 = 0.33333...(repeating)

and

2/3 = 0.66666...(repeating)

Of course, 1/3 = 3/9, so dividing 0.333... by 3, we get 1/9 = 0.111....

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The attachment shows the long division. It gets boring quickly.