0.49 Repeating as a Fraction
In this article, we will explore how to convert the repeating decimal 0.49 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, 0.49 is a repeating decimal because the sequence "49" repeats indefinitely.
Converting 0.49 to a Fraction
To convert 0.49 to a fraction, we can use the following steps:
Step 1: Let x = 0.49
Let's start by letting x = 0.49.
Step 2: Multiply x by 100
Next, we multiply x by 100 to get rid of the decimal point.
100x = 49.49
Step 3: Subtract x from 100x
Now, we subtract x from 100x to get:
99x = 49
Step 4: Divide by 99
Finally, we divide both sides of the equation by 99 to solve for x.
x = 49/99
Therefore, 0.49 can be written as a fraction: 49/99.
Conclusion
In conclusion, we have successfully converted the repeating decimal 0.49 to a fraction, which is 49/99. This method can be applied to any repeating decimal to convert it to a fraction.
