Question

Вычислите 5 целых 1/3: 6 целых 2/5 +(12: 3 целых 3/5 -2/3 )×2/3 +7 целых 2/5 по действиям

Answer 1

ответ: 10 1/90

5 1/3 : 6 2/5 + (12 : 3 3/5 - 2/3) * 2/3 + 7 2/5 = 10 1/90

1) 12 : 3 3/5 = 12 : 18/5 = 12 * 5/18 = 10/3

2) 10/3 - 2/3 = 8/3

3) 5 1/3 : 6 2/5 = 16/3 : 32/5 = 16/3 * 5/32 = 5/6

4) 8/3 * 2/3 = 16/9

5) 5/6 + 16/9 = 15/18 + 32/18 = 47/18

6) 47/18 + 7 2/5 = 47/18 + 37/5 = 235/90 + 666/90 = 901/90 = 10 1/90

Answer 2

$\displaystyle 10\frac{1}{90}$

Пошаговое объяснение:

$\displaystyle 5\frac{1}{3}: 6\frac{2}{5}+(12:3\frac{3}{5}-\frac{2}{3})*\frac{2}{3}+7\frac{2}{5}=10\frac{1}{90}$

$\displaystyle 1) \ 12:3\frac{3}{5}=12:\frac{18}{5}=12*\frac{5}{18}=\frac{12*5}{18}=\frac{6*2*5}{6*3}=\frac{10}{3}$

$\displaystyle 2)\ \frac{10}{3}-\frac{2}{3}=\frac{10-2}{3}=\frac{8}{3}$

$\displaystyle 3)\ 5\frac{1}{3}: 6\frac{2}{5}=\frac{16}{3}: \frac{32}{5}=\frac{16}{3}*\frac{5}{32}=\frac{16*5}{3*32}=\frac{16*5}{16*2*3}=\frac{5}{6}$

$\displaystyle 4)\ \frac{8}{3}*\frac{2}{3}=\frac{16}{9}$

$\displaystyle 5)\ \frac{5}{6}+\frac{16}{9}=\frac{5*3}{6*3}+\frac{16*2}{9*2}=\frac{15}{18}+\frac{32}{18}=\frac{15+32}{18}=\frac{47}{18}$

$\displaystyle 6)\ \frac{47}{18}+7\frac{2}{5}=2\frac{11}{18}+7\frac{2}{5}=2+7+\frac{11}{18}+\frac{2}{5}=9+\frac{11*5}{18*5}+\frac{2*18}{5*18}=\\\\=9+\frac{55}{90}+\frac{36}{90}=9+\frac{55+36}{90}=9+\frac{91}{90}=9+1\frac{1}{90}=10\frac{1}{90}$