0.1 6 Repeating as a Fraction
What is 0.1 6 Repeating?
0.1 6 repeating is a decimal number that has a repeating pattern of 16 after the decimal point. It is also known as a recurring decimal. In other words, it is a decimal that has an infinite number of repeating digits.
Converting 0.1 6 Repeating to a Fraction
To convert 0.1 6 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.1 6 Repeating
Let's assign the variable x to the decimal number 0.1 6 repeating.
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get rid of the decimal point.
100x = 16.16...
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
99x = 16
Step 4: Divide by 99
Divide both sides of the equation by 99 to solve for x.
x = 16/99
Result
Therefore, 0.1 6 repeating as a fraction is equal to 16/99.
Conclusion
In conclusion, 0.1 6 repeating is a recurring decimal that can be converted to a fraction. By following the steps outlined above, we can convert 0.1 6 repeating to a fraction, which is equal to 16/99.
