0.027 Recurring as a Fraction in Simplest Form
What is 0.027 Recurring?
0.027 recurring is a decimal number that has a repeating pattern of digits. In this case, the pattern is 027, which repeats indefinitely. This type of decimal is also known as a recurring decimal or a repeating decimal.
Converting 0.027 Recurring to a Fraction
To convert 0.027 recurring to a fraction, we can use a simple trick. Let's multiply the decimal by 1000 (since the repeating pattern has 3 digits):
1000x = 27.027...
Now, subtract the original decimal from the multiplied decimal:
1000x - x = 27.027... - 0.027... 990x = 27
Simplifying the Fraction
Next, divide both sides of the equation by 990:
x = 27/990
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 27 and 990 is 9:
x = (27 ÷ 9) / (990 ÷ 9) x = 3/110
Simplest Form of 0.027 Recurring
Therefore, the simplest form of 0.027 recurring as a fraction is:
3/110
This fraction is in its simplest form, as the numerator and denominator have no common factors other than 1.
