7/9*1 2/7+43 3/4:11 2/3-3 18/25+1 1/45 * (37 1/2:2 1/12-1 3/23*9) + 47/100=

7/9 * 1 2/7 + 43 3/4 : 11 2/3 - 3 18/25 + 1 1/45 + 1 1/45 * (37 1/2 : 2 1/12 - 1 3/23 * 9) + 47/100

Разложим данное выражение действия иприменим сокращение дробей

1) 37 1/2 : 2 1/12 = 75/2 : 25/12 = 75/2 * 12/25 = 3*5*5*6*2/2*5*5 = 18;

2) 1 3/23 * 9 = 26 * 9/23 = 234/23 = 10 4/23;

3) 18 - 234/23 = 18 * 23/1 * 23 - 234/23 = 414 - 234/23 = 180/23;

4) 7/9 * 1 2/7 = 7/9 * 9/7 = 63/63 = 1;

5) 43 3/4 : 11 2/3 = 43*4 + 3/4 : 11*3 + 2/3 = 175/4 : 35/3 = 175/4 * 3/35 = 35 * 5 * 3/4 * 35 = 15/4 = 3 3/4;

6) 1 1/45 * 180/23 = 1*45 + 1 * 180/23 = 46/45 * 180/23 = 23*2*45*4/45*2*3 = 8;

7) 1 + 3 3/4 = 4 3/4;

8) 4 3/4 - 3 18/25 = 4 - 3 (3/4 - 18/25) = 1 (3*25/4*25 - 18*4/25*4) = 1 75 - 72/100 = 1 3/100;

9) 1 3/100 + 8 = 9 3/100;

10) 9 3/100 + 47/100 = 9 (3 + 47/100) = 9 50/100 = 9 5/10 = 9 1/2.