Converting .6222 to a Fraction
In this article, we will explore how to convert the decimal number .6222 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). For example, the fraction 1/2 represents one half, where the numerator is 1 and the denominator is 2.
Converting .6222 to a Fraction
To convert .6222 to a fraction, we can use the following steps:
Step 1: Divide the Decimal by the Denominator
Since .6222 is a repeating decimal, we can divide it by a power of 10 to get a whole number. In this case, we can divide .6222 by 10000 to get:
.6222 × 10000 = 6222
Step 2: Find the Greatest Common Divisor (GCD)
Next, we need to find the greatest common divisor (GCD) of the numerator (6222) and the denominator (10000). We can use the Euclidean algorithm to find the GCD:
GCD(6222, 10000) = 2
Step 3: Simplify the Fraction
Now, we can simplify the fraction by dividing both the numerator and the denominator by the GCD:
6222 ÷ 2 = 3111 10000 ÷ 2 = 5000
So, the simplified fraction is:
3111/5000
Result
Therefore, the decimal .6222 can be converted to the fraction:
3111/5000
This fraction represents the same value as the original decimal number.
