0.31 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 0.31 repeating as 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, 0.31 is a repeating decimal because the sequence "31" repeats indefinitely.
Converting 0.31 Repeating to a Fraction
To convert 0.31 repeating to a fraction, we can use the following steps:
Step 1: Let x = 0.31 (repeating)
Let's start by letting x equal 0.31 (repeating).
Step 2: Multiply both sides by 100
Multiply both sides of the equation by 100 to get rid of the decimal point.
100x = 31.31 (repeating)
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
99x = 31
Step 4: Divide both sides by 99
Divide both sides of the equation by 99 to solve for x.
x = 31/99
Result
Therefore, 0.31 repeating as a fraction is equal to 31/99.
Conclusion
Converting a repeating decimal to a fraction can be a bit tricky, but by following these steps, you can do it easily. In this article, we learned how to convert 0.31 repeating to a fraction, which is equal to 31/99.
