Question

(7: 5/6 - 8 целых 1/9) * 2 целых 2/5 : ((3/8 + 5/6 + 5/12) * 8/25) = ? по действиям.

Answer 1

(7 : 5/6 - 8 1/9) * 2 2/5 : ((3/8 + 5/6 + 5/12) * 8/25) = 1 1/3

1) 7 : 5/6 = 7 * 6/5 = 42/5 = 8 2/5

2) 8 2/5 - 8 1/9 = (8 - 8) + (2/5 - 1/9) = 0 + (18/45 - 5/45) = 0 + 13/45 = 13/45

3) 3/8 + 5/6 = 9/24 + 20/24 = 29/24

3) 29/24 + 5/12 = 29/24 + 10/24 = 39/24

4) 39/24 * 8/25 = 13/25

5) 13/45 * 2 2/5 = 13/45 * 12/5 = 52/75

6) 52/75 : 13/25 = 52/75 * 25/13 = 52/39 = 1 1/3

ответ: 1 1/3

Answer 2

$\displaystyle 1\frac{1}{3}$

Пошаговое объяснение:

$\displaystyle (7:\frac{5}{6}-8\frac{1}{9})*2\frac{2}{5}:((\frac{3}{8}+\frac{5}{6}+\frac{5}{12})*\frac{8}{25})=1\frac{1}{3}$

$\displaystyle 1)\ 7:\frac{5}{6}=\frac{7}{1}*\frac{6}{5}=\frac{42}{5}=8\frac{2}{5}$

$\displaystyle 2)\ 8\frac{2}{5}-8\frac{1}{9}=\frac{2}{5}-\frac{1}{9}=\frac{2*9}{5*9}-\frac{1*5}{9*5}=\frac{18}{45}-\frac{5}{45}=\frac{18-5}{45}=\frac{13}{45}$

$\displaystyle 3)\ \frac{13}{45}*2\frac{2}{5}=\frac{13}{45}*\frac{12}{5}=\frac{13*12}{45*5}=\frac{13*3*4}{3*15*5}=\frac{13*4}{15*5}=\frac{52}{75}$

$\displaystyle 4)\ \frac{3}{8}+\frac{5}{6}=\frac{3*3}{8*3}+\frac{5*4}{6*4}=\frac{9}{24}+\frac{20}{24}=\frac{9+20}{24}=\frac{29}{24}$

$\displaystyle 5)\ \frac{29}{24}+\frac{5}{12}=\frac{29}{24}+\frac{5*2}{12*2}=\frac{29}{24}+\frac{10}{24}=\frac{29+10}{24}=\frac{39}{24}=\frac{3*13}{3*8}=\frac{13}{8}$

$\displaystyle 6)\ \frac{13}{8}*\frac{8}{25}=\frac{13*8}{8*25}=\frac{13}{25}$

$\displaystyle 7)\ \frac{52}{75}:\frac{13}{25}=\frac{52}{75}*\frac{25}{13}=\frac{52*25}{75*13}=\frac{4*13*25}{3*25*13}=\frac{4}{3}=1\frac{1}{3}$