Question

Найдите значение выражения, предварительно сократив дроби:
1)14/24 - 39/90 + 15/100
2)42/120 + 20/32 - 28/160
3)45/72 - 33/144 - 20/64​

Answer 1

Ответ:

1.  3/10

2. 4/5

3. 1/12

Пошаговое объяснение:

1)14/24 - 39/90 + 15/100  = 7/12-13/30+3/20 = (7*5-13*2+3*3)/60 = 18/60 = 3/10

2)42/120 + 20/32 - 28/160  = 7/20+5/8-7/40 = (7*2+5*5-7)/40 = 32/40 = 4/5

3)45/72 - 33/144 - 20/64​ = 5/8-11/48-5/16 = (5*6-11-5*3)/48 = 4/48 = 1/12

Answer 2

1)14/24 - 39/90 + 15/100 = 7/12 - 13/30 + 3/20 = (7*10 - 13*4 + 3*6)/120 = (70 - 52 + 18)/120 = 36/120 = 3/10 = 0,3

2)42/120 + 20/32 - 28/160 = 7/20 + 5/8 - 7/40 = (7*4 + 5*10 - 7*2)/80 = (28 + 50 - 14)/80 = 64/80 = 8/10 = 4/5 = 0,8

3)45/72 - 33/144 - 20/64 = 5/8 - 11/48 - 5/16 = (5*6 - 11*1 - 5*3)/48 = (30 - 11 - 15)/48 = 4/48 = 1/12