Question

ответ с решением и обьяснением!

Answer 1

ответ: $\boldsymbol {\sf 2 \dfrac{17}{21} }$

Пошаговое объяснение:

$\large \boldsymbol {} \displaystyle{} \sf 4,375=4+\boldsymbol {\sf 0,375}=\boldsymbol {\sf 4\frac{3}{8} } \\\\\\ \boldsymbol {\sf 0,375\cdot \frac{8}{8}=\frac{3}{8 } } \\\\\\ \frac{2\dfrac{5}{8}-2\dfrac{5}{14}\cdot \dfrac{2}{3} }{\bigg(3 \dfrac{1}{12}+4,375\bigg):19 \dfrac{8}{9} } = \dfrac{2+\dfrac{5}{8}-\dfrac{33}{14} \cdot \dfrac{2}{3} }{\bigg(4+ 3+\dfrac{1^{/2}}{12} +\dfrac{3^{/3}}{8} \bigg) \cdot \dfrac{9 }{19\cdot 9+8} } = \\\\\\$

$\displaystyle \large \boldsymbol {} \sf \frac{\displaystyle 2 \frac{5}{8}-\frac{11}{7} }{\displaystyle \bigg( 7+\dfrac{2+9 }{24} \bigg) \cdot \frac{9}{179 } } =\frac{\displaystyle 2-1+\frac{5^{/7}}{8} - \frac{4^{/8}}{7} }{\displaystyle \frac{179 \!\!\!\!\!\Big /}{24} \cdot \frac{9}{179 \!\!\!\!\!\Big / } } = \\\\\\\frac{1+\dfrac{35-32}{56} }{\dfrac{9}{24 } } =\frac{\dfrac{59}{56} }{\dfrac{3}{8} } = \frac{59}{56} \cdot \frac{8}{3} =\frac{59}{21} =\boxed{\sf 2 \frac{17}{21} }$