Question

express vulgar fraction in standard form 0.09bar​

Answer 1

Answer:

1/11

Step-by-step explanation:

Let 0.09090909......... be x

100x = 9.0909090909.........

100x - x = 9.09090909...... - 0.09090909090909........

99x = 9

x = 9/99 = 1/11

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Answer 2

Answer:

1/11

Step-by-step explanation:

when you need to convert a recurring decimal to vulgar fraction ..the simple trick is:

Numerator :write the values  after decimal point which is recurring or repeating(the numbers under the bar)as numerator

here the numerator is 09

denominator:  count how many numbers are recurring or under the bar,and put the number " 9 " that many times.

here  there are 0&9 under the bar,so put 99 in the denominator as there are 2 numbers recurring

hence we get 09/99

which when simplified we get 1/11