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To convert a fraction to a decimal, you simply need to perform a division. In this case, we have the fraction \( \frac{22}{27} \). This means you divide 22 by 27. Depending on how comfortable you are with division, you can use long division, or opt for a calculator to simplify the process. When you do this division, you get the decimal 0.8148, which is what we use for the next step in our conversion process. Remember, fractions like \( \frac{22}{27} \) are just another way to express a division operation, which is why the result of the division gives you the same value in decimal form.

Rounding decimals comes into play when you need to simplify a number or meet specific instructions, like rounding to a certain decimal place. For percent conversion, you often encounter instructions to round to the nearest tenth or hundredth. In our example with 81.48%, we’re asked to round to the nearest hundredth.

Steps to Round to the Nearest Hundredth

1. Identify the decimal place you need to round to, which is the hundredth in our case. 2. Look at the next decimal place value. For 81.480%, that would be the thousandth place. 3. If this digit is 5 or more, you increase the hundredth place by one. If it's less than 5, you keep the hundredth place the same. In 81.48%, the thousandth is less than 5, so it stays rounded at 81.48%.

Understanding basic arithmetic operations such as division and multiplication is crucial, especially in converting fractions and percentages. Here, the division is used first in converting the fraction \( \frac{22}{27} \) into a decimal.Once the decimal is obtained, multiplication by 100 is the next step to convert the decimal into a percentage.

Steps in This Conversion

- **Division**: Divide 22 by 27 to change the fraction into a decimal, resulting in approximately 0.8148.- **Multiplication**: Multiply 0.8148 by 100 to shift the decimal two places to the right, giving you a percentage. This conversion results in 81.48%.These arithmetic operations form the backbone of many mathematical processes, so it's important to be comfortable with them.