0.16 Six Repeating as a Fraction
What is 0.16 Six Repeating?
0.16 six repeating is a decimal number that has a repeating pattern of sixes after the decimal point. It can be written as 0.1666..., where the sixes go on indefinitely.
Converting 0.16 Six Repeating to a Fraction
To convert 0.16 six repeating to a fraction, we can use the following steps:
Let x = 0.1666...
Multiply both sides by 100 to get rid of the decimal point:
100x = 16.666...
Subtract x from both sides:
99x = 16.5
Divide both sides by 99:
x = 16.5/99
x = 33/66
x = 1/2
Therefore, 0.16 six repeating can be written as a fraction as 1/2.
Properties of 0.16 Six Repeating
- 0.16 six repeating is a rational number, as it can be expressed as a finite decimal or a ratio of integers.
- It is a repeating decimal, as the sixes go on indefinitely.
- It is an equivalent fraction, as it can be written in different forms, such as 1/2 or 33/66.
- It is a terminating decimal, as it can be expressed exactly as a finite decimal.
Real-World Applications
0.16 six repeating may not seem like a significant number, but it has applications in various fields, such as:
- Finance: Compound interest rates, investment returns, and financial ratios may involve 0.16 six repeating.
- Science: Scientific measurements, such as weight, length, and time, may involve 0.16 six repeating.
- Engineering: Engineering designs, such as bridges and buildings, may require calculations involving 0.16 six repeating.
In conclusion, 0.16 six repeating is a decimal number that can be converted to a fraction, 1/2, and has various applications in real-world contexts.
