The decimal number, 0.27 repeating can be written in the form of a fraction .
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.
Since 99 and 27 have a common factor of 9, this can be written as:
Hence, the required fraction is .
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The simplified form of 18/28 is 9/14.
The given fraction is,
18/28
Since we know that,
Finding the simplest form of any fraction is a straightforward procedure. We must simplify the fraction's numerator and denominator by dividing them both by the greatest common factor that divides them entirely. Both the numerator and denominator should be full integers after division. This method of fraction reduction is also known as fraction reduction.
Therefor,
Divide numerator and denominator by 2 we get,
⇒ 9/14
Hence,
9/14 is the simplest form of 18/28.
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