Write $\frac{1}{6}\%$ as a decimal.
Answer (2)
0.0016666666666666668
Explanation
Understanding the problem We need to convert 6 1 % to a decimal. First, we need to understand what percentage means. Percent means 'out of one hundred', so we can write 6 1 % as 100 6 1 .
Converting to a fraction To convert a percentage to a decimal, we divide the percentage by 100. So, we have: 6 1 % = 6 1 ÷ 100 To divide by 100, we can multiply by 100 1 : 6 1 ÷ 100 = 6 1 × 100 1 = 6 × 100 1 × 1 = 600 1
Converting to a decimal Now we need to convert the fraction 600 1 to a decimal. To do this, we divide 1 by 600. The result of this division is approximately 0.0016666666666666668.
Final Answer Therefore, 6 1 % as a decimal is approximately 0.0016666666666666668.
Examples
In finance, understanding how to convert percentages to decimals is crucial for calculating interest rates, discounts, and returns on investments. For example, if an investment promises a return of 6 1 % per year, converting this to a decimal (0.001666...) allows you to easily calculate the actual monetary gain on a given investment amount. This conversion provides a clear and practical understanding of the investment's potential growth.
To convert 6 1 % to a decimal, first convert the percentage to a fraction, resulting in 600 1 . Dividing 1 by 600 gives approximately 0.0016667 . Therefore, the decimal representation of 6 1 % is about 0.0016667 .
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