Converting 0.166 to a Fraction
What is 0.166 in Fraction Form?
The decimal number 0.166 can be converted to a fraction form. But how do we do that?
The Answer
The fraction form of 0.166 is 1/6.
How to Convert 0.166 to a Fraction
To convert 0.166 to a fraction, we can use the following steps:
Step 1: Divide the numerator by the denominator
In this case, the numerator is 166 and the denominator is 1000 (since 0.166 = 166/1000).
Step 2: Simplify the fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 166 and 1000 is 2.
So, we divide both numbers by 2:
166 ÷ 2 = 83 1000 ÷ 2 = 500
This gives us the simplified fraction:
83/500
Step 3: Find the equivalent fraction
Since 83 is not a factor of 500, we cannot simplify the fraction further. However, we can find an equivalent fraction by multiplying both the numerator and the denominator by 2:
83 × 2 = 166 500 × 2 = 1000
This gives us the equivalent fraction:
166/1000
Step 4: Simplify again
We can simplify the fraction again by dividing both the numerator and the denominator by their GCD. The GCD of 166 and 1000 is 2.
So, we divide both numbers by 2:
166 ÷ 2 = 83 1000 ÷ 2 = 500
This gives us the simplified fraction:
83/500
Step 5: Find the final answer
Since 83 is not a factor of 500, we cannot simplify the fraction further. Therefore, the final answer is:
1/6
And that's it! We have successfully converted 0.166 to a fraction form, which is 1/6.
