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What is a mixed number?

A mixed number is an integer and fraction $a\frac{b}{c}$ whose value equals the sum of that integer and fraction. For example, we write two and four-fifths as $2\frac{4}{5}$. Its value is $2\frac{4}{5}=2+\frac{4}{5}=\frac{10}{5}+\frac{4}{5}=\frac{14}{5}$. The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition: $2\frac{4}{5}\ne 2\cdot \frac{4}{5}$. A negative mixed number - the minus sign also applies to the fractional $-2\frac{4}{5}=-(2\frac{4}{5})=-(2+\frac{4}{5})=-\frac{14}{5}$. A mixed number is sometimes called a mixed fraction. Usually, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, one where the numerator is greater than the denominator.

How do I imagine a mixed number?

We can imagine mixed numbers in the example of cakes. We have three cakes, and we have divided each into five parts. We thus obtained 3 * 5 = 15 pieces of cake. One piece when we ate, there were 14 pieces left, which is $2\frac{4}{5}$ of cake. When we eat two pieces, $2\frac{3}{5}$ of the cake remains.