Converting 0.05 Repeating to a Fraction
Converting a repeating decimal to a fraction can be a bit tricky, but don't worry, we've got you covered!
What is 0.05 Repeating?
0.05 repeating, also written as 0.05¯, is a decimal that has an infinite number of repeating digits. In this case, the digit 5 repeats indefinitely.
Converting 0.05 Repeating to a Fraction
To convert 0.05 repeating to a fraction, we can use the following steps:
Step 1: Multiply both sides by 100
Let's start by letting the repeating decimal be equal to x:
x = 0.05¯
Multiply both sides by 100 to get:
100x = 5.05¯
Step 2: Subtract x from both sides
Subtract x from both sides to get:
99x = 5
Step 3: Divide both sides by 99
Finally, divide both sides by 99 to get:
x = 5/99
The Result
So, 0.05 repeating can be converted to the fraction:
5/99
That's it! You now know how to convert 0.05 repeating to a fraction.
