What is the fraction for 0.27 repeating?

Answers

Answer 1

Answer:

The decimal number, 0.27 repeating can be written in the form of a fraction $(3)/(11)$ .

Given that:

A decimal number is 0.27 repeating.

This can be written as 0.272727...

This decimal number has to be written in the form of a fraction.

Let x = 0.2727... [Equation 1]

Multiply both sides of the equation by 10.

100x = 100 × 0.2727...

100x = 27.2727... [Equation 2]

Now, subtract [Equation 1] from [Equation 2].

100x - x = 27.2727... - 0.2727...

99x = 27

Divide both sides by 99.

$x=(27)/(99)$

Since 99 and 27 have a common factor of 9, this can be written as:

$x=(3)/(11)$

Hence, the required fraction is $(3)/(11)$ .

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Answer 2

Answer: 1\27 i would really say