What is 1 of 1600?
Understand the Problem
The question is asking for the value of 1 out of 1600, which implies finding the fraction or percentage that 1 represents compared to 1600.
Answer
$6.25\%$
Answer for screen readers
The value of 1 out of 1600 is $6.25%$.
Steps to Solve
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Determine the Fraction To find the value of 1 out of 1600, we can express this as a fraction: $$ \frac{1}{1600} $$
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Convert to Percentage To find the percentage, we multiply the fraction by 100: $$ \frac{1}{1600} \times 100 $$
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Calculate the Result Now, perform the multiplication: $$ \frac{100}{1600} = \frac{1}{16} $$
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Simplify the Fraction Convert the fraction to its decimal form by doing the division: $$ \frac{1}{16} = 0.0625 $$
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Write the Percentage Now to express it as a percentage: $$ 0.0625 \times 100 = 6.25% $$
The value of 1 out of 1600 is $6.25%$.
More Information
This calculation shows how a small quantity can represent a small percentage of a much larger total. In various fields, such percentages help convey proportional relationships clearly.
Tips
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Confusing Fractions with Percentages: It's important not to confuse the fraction $\frac{1}{1600}$ with its percentage form. Always remember to multiply by 100 to convert.
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Calculation Errors: When performing the division, errors might occur. Ensure you divide carefully to avoid mistakes in finding $0.0625$.
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