$$B\cdot5\frac{4}{9}\times2\frac{3}{4}\div2\frac{4}{3}+1\frac{1}{2}\times5=$$
$\frac{539B}{120}+\frac{15}{2}$
$$\frac{B\times \frac{45+4}{9}\times \frac{2\times 4+3}{4}}{\frac{2\times 3+4}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{49}{9}\times \frac{2\times 4+3}{4}}{\frac{2\times 3+4}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{49}{9}\times \frac{8+3}{4}}{\frac{2\times 3+4}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{49}{9}\times \frac{11}{4}}{\frac{2\times 3+4}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{49\times 11}{9\times 4}}{\frac{2\times 3+4}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{539}{36}}{\frac{2\times 3+4}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{539}{36}}{\frac{6+4}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{539}{36}}{\frac{10}{3}}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{539}{36}\times 3}{10}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{539\times 3}{36}}{10}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{1617}{36}}{10}+\frac{1\times 2+1}{2}\times 5$$
$$\frac{B\times \frac{539}{12}}{10}+\frac{1\times 2+1}{2}\times 5$$
$$B\times \frac{539}{120}+\frac{1\times 2+1}{2}\times 5$$
$$B\times \frac{539}{120}+\frac{2+1}{2}\times 5$$
$$B\times \frac{539}{120}+\frac{3}{2}\times 5$$
$$B\times \frac{539}{120}+\frac{3\times 5}{2}$$
$$B\times \frac{539}{120}+\frac{15}{2}$$
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