0.167 Converted into a Fraction
Introduction
In mathematics, decimals and fractions are two different ways of representing numbers. While decimals are written in base 10 with a fractional part, fractions are written in the form of a numerator and a denominator. In this article, we will explore how to convert the decimal 0.167 into a fraction.
Converting 0.167 into a Fraction
To convert a decimal into a fraction, we need to find the equivalent fraction that has the same value as the decimal. In the case of 0.167, we can do this by dividing the decimal by a power of 10.
Step 1: Divide by 1000
Since 0.167 has three decimal places, we can divide it by 1000 to get:
0.167 ÷ 1000 = 167/1000
Step 2: Simplify the Fraction
Now, we can simplify the fraction 167/1000 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 167 and 1000 is 1, so we don't need to simplify the fraction further.
The Final Answer
Therefore, the decimal 0.167 converted into a fraction is:
167/1000
This fraction has the same value as the original decimal 0.167.
Conclusion
In conclusion, converting a decimal into a fraction involves dividing the decimal by a power of 10 and simplifying the resulting fraction. By following these steps, we can convert any decimal into a fraction. In this case, we converted the decimal 0.167 into the fraction 167/1000.
