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Understanding how to convert a fraction to a decimal is an essential skill in mathematics and statistics. A fraction represents a part of a whole and is written as two numbers separated by a slash, such as \(\frac{11}{25}\).
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).
For example, when we convert \(\frac{11}{25}\) to a decimal, we perform the division 11 ÷ 25. Performing this division yields the decimal 0.44.
This conversion is helpful when you need a clear, precise value for calculations or comparisons.
Remember, always ensure your calculations are accurate and double-check your work when doing conversions.

When dealing with statistics, we often work with proportions to understand parts of a whole.
A common formula used to find a population proportion is: \( p = \frac{\text{Number of Dog Owners}}{\text{Total Number of Households}} \). This formula helps us find the ratio of a specific group (dog owners) to the entire population (households).
In the context of our problem, we use this statistical formula to find out how many households, expressed as a single number, own dogs.
We identify essential values, like the 220 households with dogs and the 500 households altogether, to substitute into the formula. This step-by-step approach ensures accuracy and clarity.

Simplifying fractions makes them easier to understand and work with. A fraction is simplified when the numerator and the denominator have no common factors other than 1.
To simplify \(\frac{220}{500}\), we find the greatest common divisor (GCD) of 220 and 500, which is 20.
We then divide both the numerator and the denominator by this GCD: \(\frac{220 \div 20}{500 \div 20} = \frac{11}{25} \).
Simplifying fractions is key to making complex calculations more manageable and results more interpretable.
This skill is especially useful in statistics for presenting clear and concise data.

Let's walk through the sample calculation for finding the population proportion of dog owners.
First, identify the total number of households (500) and the number of households with dogs (220).
Using the formula \( p = \frac{\text{Number of Dog Owners}}{\text{Total Number of Households}} \), we substitute the values: \( p = \frac{220}{500} \).
Next, we simplify this fraction by dividing the numerator and the denominator by their GCD (20): \( \frac{220 \div 20}{500 \div 20} = \frac{11}{25} \).
Finally, we convert the simplified fraction to a decimal by dividing 11 by 25, which gives us 0.44.
This detailed step-by-step calculation helps in understanding the process and ensures accuracy in determining population proportions.