Question

решить дроби подробно​

Answer 1

Объяснение:

$\displaystyle ( 4 \frac{14}{39} : 2 - 1 \frac{5}{52}) - 21,2212 : 20,02=\frac{7}{300}$

1)

$\displaystyle 4 \frac{14}{39} : 2 = \frac{4*39+14}{39} * \frac{1}{2} = \frac{170}{39} * \frac{1}{2}= \frac{85}{39}$

2)

$\displaystyle \frac{85}{39} - 1 \frac{5}{52}= \frac{85}{39} - \frac{1*52+5}{52}= \frac{85}{39}- \frac{57}{52}= \frac{85}{13*3}- \frac{57}{13*4}= \frac{85*4- 57*3}{13*3*4}=\\ \\ \\ \frac{340-171}{156}= \frac{169}{156}= 1 \frac{13}{156}=1 \frac{13}{13*12} = 1 \frac{1}{12}$

3)

21, 2212 : 20,02 = 1,06

4)

$\displaystyle 1\frac{1}{12}- 1,06 = \frac{1*12+1}{12}- 1 \frac{6}{100}= \frac{13}{12}- 1 \frac{3}{50}= \frac{13}{12}- \frac{53}{50}= \frac{13}{2*6}- \frac{53}{2*25} =\\ \\ \\\frac{13*25- 53*6}{6*25*2}= \frac{325 - 318}{300}= \frac{7}{300}$