Question

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

Answer 1

Answer:

  $0.\overline{1}$

Step-by-step 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)

_____

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....

_____

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