Вычислите:1)0,75:(-3/20)-8,4:(-2/3);2)7,6:(-1 4/15)-(-9,75):1 1/12. Created by sergejbaev03. matematika-ru

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sergejbaev03 @sergejbaev03

July 2022 1 13 Report

Вычислите:1)0,75:(-3/20)-8,4:(-2/3);2)7,6:(-1 4/15)-(-9,75):1 1/12

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Ответ:

1) 7,6

2) 3

Пошаговое объяснение:

$\tt \displaystyle 1) \;\; 0,75:(-\frac{3}{20}) -8,4:(-\frac{2}{3} )=7,6$

$\tt \displaystyle 1. \;\; 0,75:(-\frac{3}{20})=-\frac{75}{100} \cdot \frac{20}{3}= -\frac{75 \cdot 20}{100 \cdot 3}=-\frac{3 \cdot 5 \cdot 5 \cdot 20}{5 \cdot 20 \cdot 3}=5;$

$\tt \displaystyle 2. \;\; 8,4:(-\frac{2}{3} )=-\frac{84}{10} \cdot \frac{3}{2}=-\frac{84 \cdot 3}{10 \cdot 2}=-\frac{2 \cdot 42 \cdot 3}{10 \cdot 2}=-\frac{126}{10}=-12,6;$

$\tt \displaystyle 3. \;\; 5-(-12,6)=12,6-5=7,6.$

$\tt \displaystyle 2) \;\; 7,6:(-1\frac{4}{15}) -(-9,75):1\frac{1}{12}=3$

$\tt \displaystyle 1. \;\; 7,6:(-1\frac{4}{15})=-\frac{76}{10}: \frac{19}{15}=-\frac{76}{10} \cdot \frac{15}{19}=-\frac{19 \cdot 4 \cdot 15}{10 \cdot 19}=-\frac{60}{10}=-6;$

$\tt \displaystyle 2. \;\; (-9,75):1\frac{1}{12}=-\frac{975}{100}:\frac{13}{12}=-\frac{975}{100} \cdot \frac{12}{13}=-\frac{3 \cdot 25 \cdot 13 \cdot 3 \cdot 4}{4 \cdot 25 \cdot 13} =-9;$

$\tt \displaystyle 3. \;\; -6-(-9)=9-6=3.$

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