решите уравнение (8,4:x+ 3 5/9):4 1/6=1 1/3. Created by dragonet02. matematika-ru

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August 2022 2 5 Report

решите уравнение (8,4:x+ 3 5/9):4 1/6=1 1/3

jekadva Переводим все в неправильные дроби
(8,4:x + 3 5/9):(4 1/6) = 1 1/3
(84/(10x) + 32/9):(25/6) = 4/3
42/(5x) + 32/9 = 4/3*25/6 = 50/9
42/(5x) = 50/9 - 32/9 = 18/9 = 2
42 = 10x
x = 4,2

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$8,4:x+3 \frac{5}{9} = \frac{4}{3} * \frac{25}{6} \\ 8,4:x+3 \frac{5}{9}= \frac{50}{9} \\ 8,4:x= \frac{50}{9} - \frac{32}{9} \\ 8,4:x=2 \\ x=8,4:2 \\ x= 4,2$

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