Converting .165 to a Fraction
In this article, we will explore how to convert the decimal number .165 to a fraction.
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). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
Converting .165 to a Fraction
To convert .165 to a fraction, we can follow these steps:
- Write the decimal as a fraction with a denominator of 1:
.165 = .165/1 - Multiply the numerator and denominator by 1000 to eliminate the decimal:
.165/1 = 165/1000 - Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD):
165 ÷ 5 = 33and1000 ÷ 5 = 200
So, the simplified fraction is:
.165 = 33/200
This is the equivalent fraction of the decimal .165.
Conclusion
In this article, we have successfully converted the decimal .165 to a fraction, which is 33/200. This process can be applied to any decimal number to convert it to a fraction.
