<s>[INST] Solving Simple Mixed Fraction problem? How do you wrap your head around mixed fraction, does anyone knows how to figure out, can someone give me an example how it can be solved?
 [/INST] Here is an example. 
$$2 \frac{3}{11}=\frac{2 \cdot 11}{11}+\frac3{11}=\frac{22}{11}+\frac3{11}=\frac{25}{11}$$
Or conversely,
$$\frac{11}3=\frac{11-3 \cdot 3}{3}+\frac{3 \cdot 3}{3}=\frac{11-9}{3}+\frac{9}{3}=\frac{2}{3}+3=3 \frac{2}3$$.
In general,
$$x+\frac{y}{z}=\frac{x \cdot z}{z}+\frac{y}{z}=\frac{x \cdot z +y}z$$ and vice versa. 
In most cases you'll encounter $y<z$.
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