0.1666 Repeating as a Fraction
Have you ever wondered what 0.1666 repeating looks like as a fraction? This repeating decimal may seem like a mystery, but fear not, we're here to demystify it for you.
What is 0.1666 Repeating?
0.1666 repeating is a decimal that has a never-ending sequence of 6's after the decimal point. It's a non-terminating, repeating decimal. This type of decimal is also known as a recurring decimal or a repeating decimal.
Converting 0.1666 Repeating to a Fraction
To convert 0.1666 repeating to a fraction, we can use a few simple steps. Don't worry if you're not a math whiz – we'll break it down step by step.
Step 1: Let x = 0.1666 Repeating
Let's assign the value of 0.1666 repeating to a variable x.
Step 2: Multiply x by 10
Multiply x by 10 to get:
10x = 1.6666 repeating
Step 3: Subtract x from 10x
Subtract x from 10x to get:
10x - x = 1.6666 - 0.1666 9x = 1.5
Step 4: Divide by 9
Divide both sides by 9 to get:
x = 1.5 / 9 x = 1/6
So, 0.1666 Repeating as a Fraction is...
Drumroll, please...
0.1666 repeating as a fraction is 1/6!
There you have it – 0.1666 repeating can be expressed as a simple fraction, 1/6. No more mystery, no more confusion. You now have a better understanding of this repeating decimal and how it can be converted to a fraction.
Conclusion
In conclusion, 0.1666 repeating is just a repeating decimal that can be easily converted to a fraction. By following a few simple steps, we can convert this decimal to a simple fraction, 1/6. No more confusion, no more mystery – just a clear understanding of this repeating decimal.
