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A mixed number combines a whole number and a fraction. This is especially useful when converting improper fractions, which have numerators larger than their denominators. For example, in the fraction \(\frac{16}{9}\), the numerator 16 is larger than the denominator 9. To convert it into a mixed number, follow these steps:
Start by determining how many times the denominator fits into the numerator to find the whole number part.
Here, 9 goes into 16 one full time, so the whole number part is 1.
The remaining part is written as a fraction, where the numerator is the remainder of the division and the denominator remains the same.
Therefore, \(\frac{16}{9}\) becomes 1 \(\frac{7}{9}\).

Mixed numbers can make it easier to understand quantities and is often more intuitive in everyday scenarios. It also helps in performing operations like addition and subtraction more straightforwardly.

Division is the arithmetic operation used to find how many times one number (the divisor) fits into another number (the dividend). In our context, it's crucial for converting improper fractions to mixed numbers.
In the example \(\frac{16}{9}\), the division is 16 ÷ 9.
We start by dividing 16 by 9, which gives a quotient of 1. This quotient is the whole number part of our mixed number.
The next step involves the remainder to find out what part of the fraction we still need to include.
Division cuts down complex problems and helps to simplify expressions, such as fractions into mixed numbers.

The remainder is the part left over after division. It’s crucial for completing our mixed number conversion.
After dividing 16 by 9, we found a whole number part of 1. To find the remainder, multiply the whole number by the denominator and subtract from the numerator:
\forall\, fractions like \(\frac{16}{9}\), calculate as follows:

• First multiply: 9 (denominator) × 1 (whole number) = 9.
• Then subtract from the numerator: 16 - 9 = 7.

This 7 is our remainder. The remainder becomes the numerator of the fractional part of the mixed number, over the original denominator. Thus, \(\frac{16}{9}\) is converted into 1 \(\frac{7}{9}\).
Understanding remainders helps in breaking down fractions and making them more understandable.