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Problem #38

Evaluating fractional expressions

Compiler of the Uzbek version and author of the solutions — Zuhriddin Jaloliddinov

Hard20 pointsArithmetic operations79%
Calculate:
((3712−21118+2124)⋅1531−352(312+56))⋅17131984:(51342−21328+524)+1227−13⋅49\dfrac{\left(\left(3\frac{7}{12}-2\frac{11}{18}+2\frac{1}{24}\right)\cdot 1\frac{5}{31}-\frac{3}{52}\left(3\frac{1}{2}+\frac{5}{6}\right)\right)\cdot 1\frac{7}{13}}{\frac{19}{84}:\left(5\frac{13}{42}-2\frac{13}{28}+\frac{5}{24}\right)+1\frac{2}{27}-\frac{1}{3}\cdot\frac{4}{9}}

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