$$11\frac{1}{3}-4\frac{5}{7}=\_.$$
$\frac{139}{21}\approx 6.619047619$
$$\frac{33+1}{3}-\frac{4\times 7+5}{7}$$
$$\frac{34}{3}-\frac{4\times 7+5}{7}$$
$$\frac{34}{3}-\frac{28+5}{7}$$
$$\frac{34}{3}-\frac{33}{7}$$
$$\frac{238}{21}-\frac{99}{21}$$
$$\frac{238-99}{21}$$
$$\frac{139}{21}$$
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$\frac{139}{3 \cdot 7} = 6\frac{13}{21} = 6.619047619047619$
