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Understanding how to convert decimals to percentages is a fundamental mathematical skill that allows you to express numbers as parts of a whole in a different format. To convert a decimal to a percent, simply multiply the decimal by 100 and add the percent symbol (%). For example, if you have a decimal like 0.45, you multiply it by 100 to get 45%, which represents 45 out of every 100 parts.

When working with fractions, such as the one in the exercise \(\frac{5}{11}\), the first step is to perform division to change the fraction into a decimal. This initial conversion is key prior to multiplying by 100 to get the percentage. Thus, for converting \(\frac{5}{11}\), you divide 5 by 11 resulting in approximately 0.4545. Multiplying this decimal by 100 gives you 45.45%, which represents the proportion of 5 out of 11 as a percent.

Numerical operations refer to the different procedures we can perform with numbers, such as addition, subtraction, multiplication, and division. These operations are the building blocks of mathematics and play a crucial role in almost every mathematical concept, including the process of converting fractions to percentages.

When faced with the fraction \(\frac{5}{11}\) and converting it into a percentage, two fundamental numerical operations are used: division and multiplication. First, you divide the numerator (5) by the denominator (11) to convert the fraction into a decimal. This is a division operation. Once you have the decimal \(0.4545\), you carry out a multiplication by multiplying the decimal by 100 to convert it into a percentage. Understanding these operations and how to apply them in the correct sequence is vital for successful conversion.

Rounding decimals is a numerical process used to reduce the number of digits after the decimal point, simplifying the number while maintaining its value close to the original. In many real-world applications, including when converting fractions to percentages, it's necessary to round for ease of understanding or to meet specified precision requirements.

Rounding to the nearest tenth, as advised in the exercise, involves looking at the hundredth place (the second digit after the decimal) and determining whether it is less than five (in which case you round down) or five and above (in which case you round up). If you were to round the result of dividing 5 by 11 (\(0.4545\)), to the nearest tenth of a percent, you'd round it to 45.5% because the digit in the hundredth place is 4, which is less than 5. Notice how this step ensures that the data is neatly presented and easier to interpret.