What is 2/9 as a percentage? Give your answer rounded to one decimal place.
The Correct Answer and Explanation is:
To convert the fraction ( \frac{2}{9} ) into a percentage, you can follow a straightforward mathematical process. Here’s how to do it step-by-step:
- Understand the Concept of Percentage: A percentage represents a fraction of 100. Therefore, to convert a fraction to a percentage, you multiply it by 100.
- Convert the Fraction to a Decimal: First, divide the numerator (2) by the denominator (9):
[
2 \div 9 = 0.2222\ldots
]
This decimal repeats indefinitely. For the purposes of this calculation, you can round it to a reasonable number of decimal places, although we will keep it more precise for accurate percentage conversion. - Multiply by 100: To find the percentage, multiply the decimal by 100:
[
0.2222\ldots \times 100 = 22.2222\ldots
] - Round to One Decimal Place: Finally, to express this value as a percentage rounded to one decimal place, we round ( 22.2222\ldots ) to ( 22.2).
Thus, ( \frac{2}{9} ) expressed as a percentage is 22.2%.
Explanation
The process of converting fractions to percentages is essential in many fields, including finance, education, and statistics. Understanding how to perform these conversions helps in making comparisons and interpreting data accurately.
When you see a fraction like ( \frac{2}{9} ), it can represent a part of a whole. In practical applications, such as analyzing survey results or financial data, converting fractions into percentages makes the data more accessible and easier to comprehend. For instance, if a survey found that 2 out of 9 people preferred a particular option, stating that 22.2% of respondents preferred that option gives a clearer picture of their preference compared to simply saying “2 out of 9.”
In conclusion, converting ( \frac{2}{9} ) to a percentage allows for easier interpretation and comparison across different sets of data, making it an essential skill in both academic and real-world scenarios.