0.62 Repeating as a Fraction
Have you ever wondered how to convert a repeating decimal into a fraction? In this article, we'll explore how to convert 0.62 repeating into a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats infinitely. For example, 0.62 repeating can be written as 0.626262... where the sequence "62" repeats indefinitely.
Converting 0.62 Repeating into a Fraction
To convert 0.62 repeating into a fraction, we can use the following steps:
Step 1: Let x = 0.6262...
Let's assume that x = 0.6262... where x is a variable.
Step 2: Multiply x by 100
Multiply both sides of the equation by 100 to get rid of the decimal point.
100x = 62.6262...
Step 3: Subtract x from 100x
Subtract x from both sides of the equation to eliminate the repeating decimal.
100x - x = 62.6262... - 0.6262... 99x = 62
Step 4: Divide by 99
Divide both sides of the equation by 99 to solve for x.
x = 62/99
Therefore, 0.62 repeating can be converted into a fraction as 62/99.
Conclusion
In conclusion, converting a repeating decimal into a fraction involves a simple process of multiplication, subtraction, and division. By following these steps, we can convert 0.62 repeating into a fraction, which is 62/99. This skill can be useful in various mathematical calculations and applications.
