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Understanding fractions is a fundamental aspect of mathematics. Improper fractions and mixed numbers are two common ways of representing parts of a whole. An improper fraction is one where the numerator is equal to or greater than the denominator, while a mixed number combines a whole number and a proper fraction.

An improper fraction is a fraction in which the numerator is equal to or greater than the denominator. For example, 7/4 is an improper fraction.

A mixed number consists of a whole number and a proper fraction. For instance, $1\frac{3}{4}$ is a mixed number.

- Quickly convert improper fractions to mixed numbers for easier understanding.
- Simplify complex fractions into a more intuitive format.
- Facilitate arithmetic operations with mixed numbers.

To convert an improper fraction to a mixed number:

- Divide the numerator by the denominator.
- The quotient becomes the whole number part of the mixed number.
- The remainder becomes the numerator of the proper fraction, with the same denominator.

Example 1:

Convert 7/4 to a mixed number.

Calculation:

7÷4 = 1 remainder 3

So, 7/4 = $1\frac{3}{4}$.

Example 2:

Convert 11/3 to a mixed number.

Calculation:

11÷3 = 3 remainder 2

So, 11/4 = $3\frac{2}{3}$.

Example 3:

Convert 9/2 to a mixed number.

Calculation:

9÷2 = 1 remainder 1

So, 7/4 = $4\frac{1}{2}$.

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