Question

А) 11/15×(4/9×15/22)
Б) 1/10 × 22 ×30 × 1/11
В) 11/15 × 5/26+5/26×2/15
Г) 5/34×7/9-5/34×4/27
Д) 49/64 × 8/9+11/32×8/9-3/64×8/9.
Помогите плиз, я болела и пропустила тему.

Answer 1

а) 11/15   × (4/9  ×  15/22) =
= 11/15  ×  4/9  × 15/22 =
= (11*4*15)/(15*9*22) =
=  (11 * (2*2) * 15)  / (15 * 9 * (11*2) ) =
=  (1 * 2  * 1) / (1 * 9 * 1)  =
= 2/9

б) 1/10 × 22 × 30 ×1/11  =
= 1/10  ×  (22/1)  ×  (30/1)  ×  1/11 =
= (1 *  (11*2)  * (3*10)  * 1)   /   ( 10*1*1*11) =
= (2*3)/1  = 6

в)  11/15  ×  5/26   +  5/26  × 2/15 =
= 5/26  ×  (11/15   + 2/15) = 
= 5/26  ×   13/15   = 
= (5*13)/(26*15) = 
= 1/(2*3) = 1/6


г) 5/34 × 7/9   - 5/34  ×4/27  =
= 5/34 × (7/9   - 4/27)  =
= 5/34 × ( 21/27    - 4/27) =
= 5/34  ×  17/27 =
= (5*17)/(34*27) =
= (5*17) /  ( 2*17*27) =
= 5/(2*27) = 5/54

д)49/64 ×8/9  +11/32 ×8/9 - 3/64 × 8/9 =
= 8/9 ×  (49/64 + 11/32  - 3/64 ) =
= 8/9  ×  (49/64   + 22/64  - 3/64 ) =
= 8/9  × 68/64 =
= (8*68)/(9*64) =
=(8*4*17)  / (9 * 8*8) =
= 17/(9*2) = 17/18