$$\frac{47}{14}-\frac{23}{21}$$
$\frac{95}{42}\approx 2.261904762$
$$\frac{141}{42}-\frac{46}{42}$$
$$\frac{141-46}{42}$$
$$\frac{95}{42}$$
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$\frac{5 \cdot 19}{2 \cdot 3 \cdot 7} = 2\frac{11}{42} = 2.261904761904762$