Converting 160 to a Fraction of 8
In this article, we will explore how to convert 160 to a fraction of 8. A fraction represents a part of a whole, and it can be expressed in various forms. We will dive into the world of fractions and discover how to simplify 160 as a fraction of 8.
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 160 to a Fraction
To convert 160 to a fraction, we need to find the largest whole number that divides 160 without leaving a remainder. This whole number is called the greatest common divisor (GCD).
The GCD of 160 and 8 is 8. Therefore, we can write 160 as a fraction of 8 as follows:
160/8 = 20
So, 160 is equal to 20 times 8.
Simplifying the Fraction
We can simplify the fraction 20/8 by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
20 ÷ 4 = 5 8 ÷ 4 = 2
Therefore, the simplified fraction is:
5/2
Conclusion
In this article, we have successfully converted 160 to a fraction of 8 and simplified it to its lowest form, which is 5/2. Understanding fractions is essential in mathematics, and this exercise has demonstrated the process of converting a whole number to a fraction and simplifying it.
