$$\frac{15}{5}-\frac{8}{9}+\frac{24}{8}$$
$\frac{46}{9}\approx 5.111111111$
$$3-\frac{8}{9}+\frac{24}{8}$$
$$\frac{27}{9}-\frac{8}{9}+\frac{24}{8}$$
$$\frac{27-8}{9}+\frac{24}{8}$$
$$\frac{19}{9}+\frac{24}{8}$$
$$\frac{19}{9}+3$$
$$\frac{19}{9}+\frac{27}{9}$$
$$\frac{19+27}{9}$$
$$\frac{46}{9}$$
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$\frac{2 \cdot 23}{3 ^ {2}} = 5\frac{1}{9} = 5.111111111111111$
