0.38 Recurring as a Fraction
What is 0.38 recurring?
0.38 recurring, also written as 0.38̄, is a decimal number that has a repeating pattern of 38. This means that the digits 38 will continue to repeat indefinitely.
Converting 0.38 recurring to a fraction
To convert 0.38 recurring to a fraction, we can use the following steps:
Let x = 0.38̄
Multiplying both sides by 100, we get:
100x = 38.38̄
Subtracting x from both sides gives us:
99x = 38
Dividing both sides by 99, we get:
x = 38/99
So, 0.38 recurring as a fraction is:
38/99
Simplifying the fraction (optional)
We can simplify the fraction 38/99 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 38 and 99 is 1, so the fraction is already in its simplest form.
Therefore, 0.38 recurring as a fraction is 38/99, and it is already in its simplest form.
Conclusion
In this article, we have seen how to convert 0.38 recurring to a fraction. By following the steps outlined above, we can convert any recurring decimal to a fraction. The resulting fraction can then be simplified, if possible, to make it easier to work with.
