Converting 0.6222 Repeating to a Fraction
Have you ever wondered how to convert a repeating decimal to a fraction? In this article, we will explore the process of converting 0.6222 repeating to a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely. For example, 0.6222 repeating means that the sequence "62" repeats forever: 0.6262626262….
Converting 0.6222 Repeating to a Fraction
To convert 0.6222 repeating to a fraction, we can use the following steps:
Step 1: Let x be the Repeating Decimal
Let x = 0.6222 repeating
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get:
100x = 62.22 repeating
Step 3: Subtract x from 100x
Subtract x from both sides of the equation to get:
99x = 61.60
Step 4: Divide by 99
Divide both sides of the equation by 99 to get:
x = 61.60/99
Step 5: Simplify the Fraction
Simplify the fraction to get:
x = 31/45
Therefore, 0.6222 repeating is equal to the fraction 31/45.
Conclusion
In this article, we have learned how to convert a repeating decimal to a fraction. By following the steps outlined above, we can convert 0.6222 repeating to the fraction 31/45. This process can be applied to any repeating decimal to convert it to a fraction.
