0.92 Repeating as a Fraction
In this article, we will explore how to convert the repeating decimal 0.92 to a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats indefinitely. In the case of 0.92, the sequence of digits "92" repeats indefinitely.
Converting 0.92 to a Fraction
To convert 0.92 to a fraction, we can use the following steps:
Step 1: Let x = 0.92
Let's start by letting x equal 0.92.
Step 2: Multiply x by 100
Next, we multiply x by 100 to get:
100x = 92.92
Step 3: Subtract x from 100x
Now, we subtract x from 100x to get:
99x = 92
Step 4: Divide by 99
Finally, we divide both sides of the equation by 99 to get:
x = 92/99
Therefore, the fraction equivalent of 0.92 is 92/99.
Simplifying the Fraction
We can simplify the fraction 92/99 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 92 and 99 is 1, so the fraction is already in its simplest form.
Conclusion
In conclusion, the repeating decimal 0.92 can be converted to the fraction 92/99. This fraction is in its simplest form and can be used in mathematical calculations and applications.
I hope this article helps you understand how to convert repeating decimals to fractions. If you have any questions or need further assistance, feel free to ask!
