Converting 0.16666 to a Fraction
Do you need to convert the repeating decimal 0.16666 to a fraction? Look no further! In this article, we'll show you how to convert 0.16666 to a fraction using a simple calculator method.
What is 0.16666 as a Fraction?
The repeating decimal 0.16666 is equivalent to the fraction:
1/6
Yes, you read that right! The decimal 0.16666 is equal to one-sixth.
How to Convert 0.16666 to a Fraction using a Calculator?
Converting a repeating decimal to a fraction using a calculator is a straightforward process. Here are the steps:
Step 1: Divide the Decimal by a Power of 10
Divide 0.16666 by 100, which is a power of 10 (10^2). This will give you:
0.16666 ÷ 100 = 16.666
Step 2: Write the Result as a Fraction
Write the result as a fraction by placing the result from Step 1 as the numerator and the divisor (100) as the denominator:
16.666/100
Step 3: Simplify the Fraction
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 2.
16.666 ÷ 2 = 8.333 100 ÷ 2 = 50
So, the simplified fraction is:
8.333/50
Step 4: Convert the Fraction to a Simple Form
Now, convert the fraction to a simple form by dividing the numerator and the denominator by their GCD again. In this case, the GCD is 8.333.
8.333 ÷ 8.333 = 1 50 ÷ 8.333 = 6
And there you have it! The final answer is:
1/6
Conclusion
Converting 0.16666 to a fraction is a simple process that involves dividing the decimal by a power of 10, writing the result as a fraction, simplifying the fraction, and converting it to a simple form. Using a calculator, you can easily convert 0.16666 to the fraction 1/6.
