Mixed Numbers/Fractions

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Mixed number (or mixed fraction) is a number that consists of integer and proper fraction.

In other words mixed numbers are "mix" of integer and proper fraction.

We write it in the following way: $$${4}\frac{{1}}{{5}}$$$. Here, 4 is integer and $$$\frac{{1}}{{5}}$$$ is proper fraction.

Other examples of mixed numbers are $$${15}\frac{{7}}{{9}}$$$, $$${45}\frac{{15}}{{16}}$$$ etc.

Note, that, for example, $$${14}\frac{{8}}{{7}}$$$ is not correct mixed number, because $$$\frac{{8}}{{7}}$$$ is not proper fraction.

improper fractionsAnother example of mixed numbers is following.

Suppose you have two rectangles. You divide each of them into 7 parts. You paint all 7 parts of first rectangle, i.e. you paint all rectangle and 4 parts of second rectangle.

In this case you paint $$${1}\frac{{4}}{{7}}$$$.

In fact, mixed number is sum of integer and proper fraction: $$${1}+\frac{{4}}{{7}}$$$. We will see later how to perform such addition, but for now remember that $$${1}\frac{{4}}{{7}}$$$ is equivalent to $$${1}+\frac{{4}}{{7}}$$$.