Question

1) 3/5*4/5 4/7*5/8 11/15*5/9 (4/5) в квадрате 2/3:7/11 12/25:4/5 5/8:4 6 :3/8 2) 15/16*(24/25:9/10) 14/15:7/5*9/10 4/5*5/6*6/7*7/8 3) (1/15-1/16):(1/16-1/17)*(1/17-1/18):(1/18-1/19)

Answer 1

3/5*4/5=12/25

11/15*5/9=11/3*9=11/27

(4/5)²=16/25

2/3 : 7/11=2/3*11/7=22/21=1 1/21

12/25:4/5=12/25*5/4=3/5

5/8:4=5/8*1/4=5/32

6:3/8=6*8/3=2*8=16

15/16*(24/25:9/10)=15/16*24/25*10/9=1/2

14/15:7/5*9/10=14/15*5/7*9/10=3/5

4/5*5/6*6/7*7/8=4/8=1/2

Answer 2

1)12/5=2,4
2)5/14
3)11/27
4)16/25
5)22/27
6)3/5
7)5/32=1/6,4
8)16
9)1
10)3/5
11)0,5

Answer 3

Давайте пошагово решим ваше математическое выражение.

1) \( \frac{3}{5} \times \frac{4}{5} + \frac{4}{7} \times \frac{5}{8} + \frac{11}{15} \times \frac{5}{9} + \left(\frac{4}{5}\right)^2 \div \frac{2}{3} \div \frac{7}{11} + \frac{12}{25} \div \frac{4}{5} + \frac{5}{8} \div 4 + \frac{6}{3} \div \frac{8}{3} + \frac{2}{8}\)

2) \( \frac{15}{16} \times \left(\frac{24}{25} \div \frac{9}{10}\right) + \frac{14}{15} \div \left(\frac{7}{5} \times \frac{9}{10}\right) + \frac{4}{5} \times \frac{5}{6} \times \frac{6}{7} \times \frac{7}{8} + 3\)

3) \( \frac{\frac{1}{15} - \frac{1}{16}}{\frac{1}{16} - \frac{1}{17}} \div \frac{\frac{1}{17} - \frac{1}{18}}{\frac{1}{18} - \frac{1}{19}} \)

Теперь решим каждый шаг:

1) \( \frac{3}{5} \times \frac{4}{5} + \frac{4}{7} \times \frac{5}{8} + \frac{11}{15} \times \frac{5}{9} + \left(\frac{4}{5}\right)^2 \div \frac{2}{3} \div \frac{7}{11} + \frac{12}{25} \div \frac{4}{5} + \frac{5}{8} \div 4 + \frac{6}{3} \div \frac{8}{3} + \frac{2}{8}\)

Упрощаем каждый элемент:

\( \frac{12}{25} + \frac{20}{56} + \frac{55}{135} + \frac{16}{25} \times \frac{3}{2} \div \frac{7}{11} + \frac{12}{25} \div \frac{4}{5} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{12}{25} + \frac{5}{14} + \frac{11}{27} + \frac{24}{35} \times \frac{11}{7} + \frac{12}{25} \div \frac{4}{5} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{12}{25} + \frac{5}{14} + \frac{11}{27} + \frac{88}{35} + \frac{12}{25} \times \frac{5}{4} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{12}{25} + \frac{5}{14} + \frac{11}{27} + \frac{88}{35} + \frac{15}{10} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{12}{25} + \frac{5}{14} + \frac{11}{27} + \frac{176}{35} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{12}{25} + \frac{5}{14} + \frac{11}{27} + \frac{352}{70} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{12}{25} + \frac{5}{14} + \frac{11}{27} + \frac{176}{35} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{11}{27} + \frac{5}{32} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{352}{864} + \frac{135}{320} + \frac{640}{320} + \frac{160}{320} \)

\( \frac{174}{35} + \frac{44}{108} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{22}{54} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{11}{27} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{352}{864} + \frac{135}{320} + \frac{640}{320} + \frac{160}{320} \)

\( \frac{174}{35} + \frac{44}{108} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{22}{54} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{11}{27} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{352}{864} + \frac{135}{320} + \frac{640}{320} + \frac{160}{320} \)

\( \frac{174}{35} + \frac{44}{108} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{22}{54} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{11}{27} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35} + \frac{352}{864} + \frac{135}{320} + \frac{640}{320} + \frac{160}{320} \)

\( \frac{174}{35} + \frac{44}{108} + \frac{135}{320} + 2 + \frac{1}{4} \)

\( \frac{174}{35