Question

плис помогите даю 15 баллов

Answer 1

Ответ:

$\displaystyle 11\frac{10}{41} .$

Пошаговое объяснение:

Будем применять свойство вычитания:

( a - b ) + c = ( a - c ) + b

.......................................................................................

$\displaystyle \left (16 \frac{12}{37}-9\frac{31}{41} \right )+4\frac{25}{37} =\left ( 16\frac{12}{37} +4\frac{25}{37} \right ) - 9\frac{31}{41}=\\\\\\=\left ( (16 + 4) + \left (\frac{12}{37} +\frac{35}{37} \right )\right )-9\frac{31}{41} =\\\\\\=\left (20+\left (\frac{12+35}{37} \right ) \right ) -9\frac{31}{41} =\left (20+\frac{37}{37} \right ) -9\frac{31}{41} =(20+1)-9\frac{31}{41}=\\\\\\=21-9\frac{31}{41}=20\frac{41}{41}-9\frac{31}{41}=(20-9)+\left(\frac{41}{41} -\frac{31}{41} \right )=$

$\displaystyle =11+\frac{41-31}{37}=11\frac{10}{41}.$