62/100 as a Fraction in Simplest Form
In this article, we will explore how to simplify the fraction 62/100 to its simplest form.
What is a Fraction in Simplest Form?
A fraction is in simplest form when the numerator (the top number) and the denominator (the bottom number) have no common factors other than 1. In other words, the fraction cannot be simplified further by dividing both the numerator and the denominator by a common factor.
Simplifying 62/100
To simplify the fraction 62/100, we need to find the greatest common divisor (GCD) of 62 and 100.
Calculating the Greatest Common Divisor (GCD)
The GCD of 62 and 100 can be calculated using the following steps:
Step 1: List the factors of 62
The factors of 62 are: 1, 2, 31, 62
Step 2: List the factors of 100
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100
Step 3: Identify the common factors
The common factors of 62 and 100 are: 1, 2
Step 4: Identify the greatest common divisor (GCD)
The greatest common divisor of 62 and 100 is 2.
Simplifying the Fraction
Now that we have found the GCD, we can divide both the numerator and the denominator by 2 to simplify the fraction:
62 ÷ 2 = 31 100 ÷ 2 = 50
So, the simplified form of the fraction 62/100 is:
31/50
In conclusion, the fraction 62/100 in simplest form is 31/50.
