0.05 Recurring as a Fraction Worksheet
Introduction
Recurring decimals are decimals that have a repeating pattern of digits. In this worksheet, we will focus on converting 0.05 recurring to a fraction.
What is 0.05 Recurring?
0.05 recurring is a decimal that has a repeating pattern of 05. It can be written as:
0.0505050505...
Converting 0.05 Recurring to a Fraction
To convert 0.05 recurring to a fraction, we can use the following steps:
Step 1: Write the recurring decimal as a fraction
Let x = 0.0505050505...
Step 2: Multiply both sides by 100
100x = 5.0505050505...
Step 3: Subtract the original equation from the new equation
(100x - x) = (5.0505050505... - 0.0505050505...)
Step 4: Simplify the equation
99x = 5
Step 5: Divide both sides by 99
x = 5/99
Therefore, 0.05 recurring as a fraction is equal to 5/99.
Practice Exercises
- Convert 0.25 recurring to a fraction.
- Convert 0.07 recurring to a fraction.
- Convert 0.12 recurring to a fraction.
Answers
- 1/4
- 7/99
- 4/33
Conclusion
In this worksheet, we have learned how to convert 0.05 recurring to a fraction. We can apply the same steps to convert any recurring decimal to a fraction. Practice exercises are provided to help you reinforce your understanding of the concept.
