0.14 4 Repeating as a Fraction
Have you ever wondered how to convert a repeating decimal into a fraction? In this article, we will explore how to do just that with the example of 0.14 4 repeating as a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely. For example, 0.14 4 repeating is a repeating decimal because the sequence "14" repeats indefinitely.
Converting 0.14 4 Repeating into a Fraction
To convert a repeating decimal into a fraction, we can use the following steps:
Step 1: Write the decimal as a fraction
Let's write the decimal 0.14 4 repeating as a fraction:
x = 0.14 4 repeating
Step 2: Multiply both sides by 100
Multiply both sides of the equation by 100 to get rid of the decimal point:
100x = 14.14 4 repeating
Step 3: Subtract the original equation from the new equation
Subtract the original equation from the new equation to get:
99x = 14
Step 4: Solve for x
Now, solve for x by dividing both sides by 99:
x = 14/99
So, the fraction equivalent of 0.14 4 repeating is 14/99.
Conclusion
Converting a repeating decimal into a fraction can be a useful skill in mathematics. By following the steps outlined above, we can convert 0.14 4 repeating into the fraction 14/99. This can be helpful in a variety of mathematical contexts, from algebra to calculus.
