0.050 Repeating as a Fraction
What is 0.050 Repeating?
0.050 repeating is a decimal number that has a never-ending sequence of 050 digits. It is a non-terminating, repeating decimal.
Converting 0.050 Repeating to a Fraction
To convert 0.050 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.050050...
Let x = 0.050050... (where the dots indicate that the sequence of 050 digits goes on forever).
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get:
100x = 5.005050...
Step 3: Subtract x from 100x
Subtract x from 100x to get:
99x = 5
Step 4: Solve for x
Divide both sides of the equation by 99 to get:
x = 5/99
Result
Therefore, 0.050 repeating as a fraction is 5/99.
Conclusion
In this article, we have successfully converted 0.050 repeating to a fraction, which is 5/99. This conversion is useful in various mathematical calculations and applications.
