Converting the Number Sequence 6 1 3 4 3 4 to a Fraction
Have you ever wondered how to convert a number sequence like 6 1 3 4 3 4 into a fraction? If so, you're in the right place! In this article, we'll explore the steps to convert this sequence into a fraction.
Understanding the Sequence
Before we dive into converting the sequence, let's take a closer look at what it represents. The sequence 6 1 3 4 3 4 is a repeating decimal sequence. Each number in the sequence is a digit in the decimal representation of a number.
Converting the Sequence to a Decimal
To convert the sequence to a decimal, we can write it as:
0.613434...
Converting the Decimal to a Fraction
Now that we have the decimal representation, we can convert it to a fraction. To do this, we can use the following steps:
Step 1: Let x = 0.613434...
Step 2: Multiply both sides by 10,000 (since the sequence has 4 repeating digits)
10,000x = 6,134.3434...
Step 3: Subtract the original equation from the new equation
10,000x - x = 6,134.3434... - 0.613434...
Step 4: Simplify the equation
9,999x = 6,133.73
Step 5: Divide both sides by 9,999
x = 6133.73 / 9999
Step 6: Simplify the fraction
x = 613373 / 999900
The Final Result
After following these steps, we can conclude that the number sequence 6 1 3 4 3 4 corresponds to the fraction:
613373 / 999900
This fraction is the equivalent representation of the decimal sequence 0.613434...
