Вычислите:
1) -14/15 × 25/28 + (-36/37) ÷ (-6/37) ;
2) 26/27 × (-9/65) + (-100/101) ÷ 50/303 ;
3)-30/31 × 15/124 + (-16/21) × (-7/8) ;
4) (-51/58) ÷ (-17/25) - 25/27 × (-81/125)

Предыдущий
вопрос Следующий
вопрос

1) -14/15 × 25/28 + (-36/37) ÷ (-6/37)
= (-1425)/(1528) + (-36)/37 ÷ (-6)/37
= -10/21 + 6
= -10/21 + 126/21
= (126 - 10)/21
= 116/21

2) 26/27 × (-9/65) + (-100/101) ÷ 50/303
= (-269)/(2765) + (-100)/101 ÷ 50/303
= -234/1755 + (-100)/101 ÷ 303/50
= -234/1755 + (-100)/101 50/303
= -234/1755 + (-5000)/30300
= -234/1755 + (-5000)/30300 3159/3159
= -234/1755 + (-15795000)/94665500
= -234/1755 + (-15795000)/94665500
= (-23494665500 - 157950001755)/(1755*94665500)
= (-2212571400 - 27774750000)/(33026782700)
= -30019321400/33026782700
= -150096607/1651339135

3) -30/31 × 15/124 + (-16/21) × (-7/8)
= (-3015)/(31124) + (-16)/21 7/8
= -450/3836 + (-167)/(218)
= -450/3836 + (-112)/168
= -450/3836 + (-112)/168 5743/5743
= -450/3836 + (-6424)/101472
= -450/3836 + (-6424)/101472
= (-450101472 - 64243836)/(3836*101472)
= (-45787200 - 24619824)/(389060352)
= -70407024/389060352
= -4400439/24253772

4) (-51/58) ÷ (-17/25) - 25/27 × (-81/125)
= (-51/58) (25/-17) - 25/27 × (-81/125)
= (5125)/(5817) - 25/27 × (-81/125)
= 1275/986 - 25/27 × (-81/125)
= 1275/986 - (2581)/(27125)
= 1275/986 - 2025/3375
= 1275/986 - 2025/3375 1188/1188
= 1275/986 - 2397900/3981375
= 1275/986 - 2397900/3981375
= (12753981375 - 2397900986)/(986*3981375)
= (5083921875 - 2361724)/(3922172550)
= 5081560151/3922172550