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A mixed number is a combination of a whole number and a fraction. It is a way to represent numbers that are not whole and consist of an integer part and a fractional part. For instance, in the mixed number \(3 \frac{98}{1000}\), the whole number is 3, and the fractional part is \( \frac{98}{1000} \).
A key point to remember is that the fractional part of a mixed number is usually less than 1. This means it adds some value to the whole number without turning it into a new whole number.
Mixed numbers are useful in measuring lengths, weights, or any quantities that aren’t whole numbers. For example, 3\frac{1}{2} inches shows a measurement of more than 3 inches, but less than 4 inches.

Converting fractions to decimals is an essential skill in math. It allows for easier addition, subtraction, multiplication, and division of different values.
Steps to Convert a Fraction to a Decimal:

Identify the fraction: For example, our fraction is \( \frac{98}{1000} \).

Divide the numerator by the denominator: Perform the division \( \frac{98}{1000} \). In this case, 98 divided by 1000 equals 0.098.

This process can be simplified using a calculator, but understanding the steps improves comprehension and confidence in working with numbers.
Using this knowledge, we successfully converted \( \frac{98}{1000}\) into 0.098, enabling us to combine it with the whole number in the next steps.

Adding decimals is a straightforward process but requires careful alignment to ensure accuracy.
Steps to Add Decimals:

Align the decimal points: Write the numbers so that their decimal points line up vertically. For example, converting \( 3 + 0.098 \) requires aligning like this:
3.000
+0.098.

Add the numbers: Start at the rightmost digit and move left, adding each column. Remember to keep the decimal point in the correct place in your final answer.

In our example:\( 3.000 + 0.098 = 3.098 \).
This aligns with the mixed number’s decimal notation, giving us the final answer smoothly and accurately.