0.62 Repeating as a Fraction
In this article, we will explore how to convert the repeating decimal 0.62 into 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, 0.62 is a repeating decimal because the digits "62" repeat continuously: 0.62626262...
Converting 0.62 to a Fraction
To convert 0.62 to a fraction, we can use the following steps:
Step 1: Let x = 0.62
Let's start by letting x equal 0.62.
Step 2: Multiply both sides by 100
Multiply both sides of the equation by 100 to get rid of the decimal point:
100x = 62.62
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
99x = 62
Step 4: Divide both sides by 99
Finally, divide both sides of the equation by 99 to solve for x:
x = 62/99
The Result
Therefore, 0.62 as a fraction is equal to:
62/99
This fraction can be simplified further, but it is already in its simplest form.
Conclusion
In this article, we have shown how to convert the repeating decimal 0.62 into a fraction. By following the steps outlined above, we can convert any repeating decimal into a fraction.
