Упражнение №891
Найдем значение выражений:
1) (5 1/7*3/5:3 3/5)/(12 1/4:1 3/4)=6/49
1. 5 1/7*3/5=36/7*3/5=36*3/7*5=108/35
2. 108/35:3 3/5=108/35:18/5=108*5/35*18=6*1/7*1=6/7
3. 12 1/4*1 3/4=49/4:7/4=49*4/4*7=7
4. 6/7:7=6/7*7=6/49
2) (2 2/7*2,4*1 5/9*1 9/16)/(3 1/3*1,125*1 5/7*1 7/9)=1 1/6
1. 2 2/7*2,4=16/7*24/10=16/7*12/5=16*12/7*5=192/35
2. 192/35*1 5/9=192/35*14/9=192*14/35*9=64*2/5*3=128/15
3. 128/15*1 9/16=128/15*25/16=128*25/15*16=8*5/3*1=40/3
4. 3 1/3*1,125=10/3* 1 125/1000=10/3*1 1/8=10/3*9/8=10*9/3*8=5*3/1*4=15/4
5. 15/4*1 5/7=15/4*12/7=15*12/4*7=15*3/1*7=45/7
6. 45/7*1 7/9=45/7*16/9=45*16/7*9=5*16/7*1=80/7
7. 40/3:80/7=40*7/80*3=1*7/2*3=7/6=1 1/6