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Problem #36

Evaluating fractional expressions

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

Hard20 pointsArithmetic operations88%
Calculate:
3,75:112+(1,5:334)⋅212+(117−2349):221472:315+(314:13):23−(2518−1736)⋅1865\dfrac{3,75:1\frac{1}{2}+\left(1,5:3\frac{3}{4}\right)\cdot 2\frac{1}{2}+\left(1\frac{1}{7}-\frac{23}{49}\right):\frac{22}{147}}{2:3\frac{1}{5}+\left(3\frac{1}{4}:13\right):\frac{2}{3}-\left(2\frac{5}{18}-\frac{17}{36}\right)\cdot\frac{18}{65}}

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