0.167 as a Fraction in Lowest Terms
In this article, we will explore how to convert the decimal number 0.167 into a fraction in its lowest terms.
What is a Fraction?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half of a whole.
Converting 0.167 to a Fraction
To convert 0.167 to a fraction, we need to find the numerator and denominator. One way to do this is to multiply both the numerator and denominator by the same number until the decimal becomes a whole number.
Let's multiply 0.167 by 1000:
0.167 × 1000 = 167
Now, we can write the fraction as:
167/1000
Simplifying the Fraction
The fraction 167/1000 is not in its lowest terms. To simplify it, we need to find the greatest common divisor (GCD) of 167 and 1000.
The GCD of 167 and 1000 is 1, which means that the fraction is already in its lowest terms.
Therefore, the final answer is:
0.167 = 167/1000
Conclusion
In this article, we learned how to convert the decimal number 0.167 to a fraction in its lowest terms. We multiplied the decimal by 1000 to get the numerator and denominator, and then simplified the fraction to get the final answer: 167/1000.
