What is 6 of 16000?
Understand the Problem
The question is asking us to calculate what 6 out of 16000 is. This can be approached by finding the percentage represented by the fraction 6/16000.
Answer
$3.75\%$
Answer for screen readers
The answer is $3.75%$.
Steps to Solve
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Identify the Fraction First, we represent the part (6) and the whole (16000) as a fraction: $$ \frac{6}{16000} $$
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Convert to Percentage To find what percentage 6 is out of 16000, we multiply the fraction by 100: $$ \left( \frac{6}{16000} \right) \times 100 $$
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Perform the Calculation Now, we simplify the calculation: $$ \frac{6 \times 100}{16000} = \frac{600}{16000} $$
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Simplify the Fraction Next, we can simplify the fraction: $$ \frac{600 \div 200}{16000 \div 200} = \frac{3}{80} $$
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Decimal Conversion To express this as a percentage, we convert $\frac{3}{80}$ into a decimal: $$ 3 \div 80 = 0.0375 $$
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Final Percentage Calculation Now, we convert the decimal to a percentage by multiplying by 100: $$ 0.0375 \times 100 = 3.75 $$
The answer is $3.75%$.
More Information
This answer indicates that 6 is 3.75% of 16000. Understanding percentages is important for interpreting data, especially in financial contexts, statistics, and surveys.
Tips
- Forgetting to multiply by 100 when converting from a fraction to a percentage.
- Not simplifying the fraction before converting it into a decimal.
