Question

Как решить это уравнение

Answer 1

$\dfrac{18,6\cdot 0,24 + 3\dfrac{2}{9}\cdot \dfrac{15}{38}}{7\div 7\dfrac{1}{2} - \left(5\dfrac{1}{15}\cdot 3 - 12\dfrac{19}{30}\right)\div 2,75}$

1) $18,6\cdot 0,24 = 18\dfrac{3}{5} \cdot \dfrac{6}{25} = \dfrac{93}{5} \cdot \dfrac{6}{25} = \dfrac{93\cdot 6}{5\cdot 25} = \dfrac{558}{125} = 4\dfrac{58}{125}$

2)  $3\dfrac{2}{9} \cdot \dfrac{15}{38} = \dfrac{29}{9} \cdot \dfrac{15}{38} = \dfrac{29\cdot 15}{9\cdot 38} = \dfrac{29\cdot 5}{3\cdot 38} = \dfrac{145}{114} = 1\dfrac{31}{114}$

3)  $4\dfrac{58}{125} + 1\dfrac{31}{114} = 4\dfrac{6612}{14250} + 1\dfrac{3875}{14250} = 5\dfrac{6612+3875}{14250} = 5\dfrac{10487}{14250}$

4)  $5\dfrac{1}{15}\cdot 3= \dfrac{76}{15}\cdot 3 = \dfrac{76\cdot 3}{15} = \dfrac{76}{5} = 15\dfrac{1}{5}$

5)  $15\dfrac{1}{5} - 12\dfrac{19}{30} = 15\dfrac{6}{30} - 12\dfrac{19}{30} = 14\dfrac{36}{30} - 12\dfrac{19}{30} = 2\dfrac{36-19}{30} = 2\dfrac{17}{30}$

6)  $7\div 7\dfrac{1}{2} = \dfrac{7}{1}\div \dfrac{15}{2} = \dfrac{7\cdot 2}{15} = \dfrac{14}{15}$

7)  $2\dfrac{17}{30}\div 2,75 = \dfrac{77}{30} \div 2\dfrac{3}{4} = \dfrac{77}{30} \div \dfrac{11}{4} = \dfrac{77\cdot 4}{30\cdot 11} = \dfrac{7\cdot 2}{15} = \dfrac{14}{15}$

8)  $\dfrac{14}{15} - \dfrac{14}{15} = 0$

9)  $5\dfrac{10487}{14250} \div 0 = \varnothing$  - деление на 0 не имеет смысла.