0.16 Repeating to Fraction
In this article, we will explore how to convert the repeating decimal 0.16 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 this case, the repeating decimal is 0.16, where the sequence "16" repeats indefinitely.
Converting 0.16 Repeating to a Fraction
To convert the repeating decimal 0.16 to a fraction, we can use the following steps:
Step 1: Write the Repeating Decimal as a Fraction
Let's write the repeating decimal 0.16 as a fraction:
0.16 = 16/100
Step 2: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 16 and 100 is 4. So, we can simplify the fraction as follows:
16 ÷ 4 = 4 100 ÷ 4 = 25
So, the simplified fraction is:
4/25
Result
The repeating decimal 0.16 is equal to the fraction 4/25.
Conclusion
In conclusion, we have successfully converted the repeating decimal 0.16 to a fraction, which is 4/25. This process can be applied to any repeating decimal to convert it to a fraction.
