Converting 0.166 into a Fraction
In this article, we will explore how to convert the decimal number 0.166 into a fraction.
What is a Fraction?
A fraction is a way of expressing a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half or 50% of a whole.
Converting 0.166 into a Fraction
To convert 0.166 into a fraction, we need to find the equivalent ratio of two numbers.
Step 1: Divide by the Denominator
Let's divide 0.166 by the denominator, which is 1.
0.166 ÷ 1 = 0.166
Step 2: Multiply by a Power of 10
To eliminate the decimal point, we need to multiply 0.166 by a power of 10. In this case, we'll multiply by 1000 (10^3).
0.166 × 1000 = 166
Step 3: Simplify the Fraction
Now, we'll write the fraction in its simplest form.
166 ÷ 1000 = 166/1000
Simplify the Fraction Further
We can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
166 ÷ 2 = 83 1000 ÷ 2 = 500
So, the simplified fraction is:
83/500
Therefore, the decimal number 0.166 is equivalent to the fraction 83/500.
Conclusion
In this article, we have learned how to convert the decimal number 0.166 into a fraction. By following the steps outlined above, we were able to convert 0.166 into the fraction 83/500. This skill is essential in mathematics and can be applied to various problems involving decimals and fractions.
