Математика: Составьте сложный пример с ответом 2

Составьте сложный пример с ответом 2

Ответ:

kusainovy03

07.10.2020 08:17

$\displaystyle \dfrac{\bigg ( 0,5:1,25+\dfrac{7}{5}:1\dfrac{4}{7} -\dfrac{3}{11} \bigg) \cdot 3 }{\bigg (1,5+ \dfrac{1}{4} \bigg):18\dfrac{1}{3} \cdot 16 } =2$

$\displaystyle 1) \; 0,5:1,25= \dfrac{5}{10} :\dfrac{125}{100} =\dfrac{1}{2} \cdot \dfrac{100}{125} =\dfrac{1}{2} \cdot \dfrac{4}{5} =\dfrac{1\cdot4 }{2\cdot5}=\dfrac{2}{5}$

$\displaystyle 2) \; \dfrac{7}{5} :1\dfrac{4}{7} =\dfrac{7}{5} :\dfrac{11}{7} =\dfrac{7}{5} \cdot \dfrac{7}{11} =\dfrac{7\cdot 7 }{5\cdot 11}=\dfrac{49}{55}$

$\displaystyle 3) \; \dfrac{2}{5} + \dfrac{49}{55}=\dfrac{22}{55} + \dfrac{49}{55}= \dfrac{22+49}{55}=\dfrac{71}{55}$

$\displaystyle 4) \; \dfrac{71}{55}-\dfrac{3}{11}=\dfrac{71}{55}-\dfrac{15}{55}=\dfrac{71-15}{55}=\dfrac{56}{55}$

$\displaystyle 5) \; \dfrac{56}{55} \cdot 3 =\dfrac{56 \cdot 3}{55} =\dfrac{168}{55}$

$\displaystyle 6) \; 1,5+ \dfrac{1}{4}=\dfrac{15}{10} + \dfrac{1}{4}=\dfrac{3}{2} + \dfrac{1}{4}= \dfrac{6}{4} + \dfrac{1}{4}=\dfrac{6+1}{4}=\dfrac{7}{4}$

$\displaystyle 7) \; \dfrac{7}{4} :18\dfrac{1}{3} =\dfrac{7}{4} :\dfrac{55}{3} =\dfrac{7}{4} \cdot \dfrac{3}{55} =\dfrac{7\cdot 3 }{4\cdot 55}=\dfrac{21}{220}$

$\displaystyle 8) \; \dfrac{21}{220} \cdot 16=\dfrac{21 \cdot 16}{220} =\dfrac{21 \cdot 4\cdot 4}{55\cdot 4}=\dfrac{21 \cdot 4}{55}=\dfrac{84}{55}$

$\displaystyle 9) \; \dfrac{168}{55} :\dfrac{84}{55} = \dfrac{168}{55} \cdot \dfrac{55}{84} = \dfrac{168 \cdot 55}{55 \cdot 84} = \dfrac{168}{84} =\dfrac{2 \cdot 84}{84} =2$