0.15 Recurring as a Fraction
What is 0.15 Recurring?
0.15 recurring, also written as 0.15̄, is a decimal number that has a repeating pattern of digits. In this case, the digit "15" repeats indefinitely. This type of decimal is called a recurring decimal or repeating decimal.
Converting 0.15 Recurring to a Fraction
To convert 0.15 recurring to a fraction, we can use a simple trick. Let's multiply 0.15̄ by 100, which gives us:
100 × 0.15̄ = 15.15̄
Now, subtract the original number from the product:
15.15̄ - 0.15̄ = 15
This leaves us with:
15 = 99 × 0.15̄
Divide both sides by 0.15̄:
1 = 99 × 0.15̄ / 0.15̄ 1 = 99/100
So, 0.15 recurring as a fraction is equal to:
15/99
Simplifying the fraction, we get:
5/33
Therefore, 0.15 recurring is equivalent to the fraction 5/33.
