Первый пример.
-14/15 * 25/28 + (-36/37) ÷ (-6/37) = 5 1/6
1) -14/15 * 25/28 = -5/6
2) -36/37 ÷ (-6/37) = -36/37 * (-37/6) = 6
3) -5/6 + 6 = 5 1/6
Второй пример.
26/27 * (-9/65) + (-100/101) ÷ 50/303 = -6 2/15
1) 26/27 * (-9/65) = -2/15
2) -100/101 ÷ 50/303 = -100/101 * 303/50 = -6
3) -2/15 - 6 = -6 2/15
Третий пример.
-30/31 * 15/124 + (-16/21) * (-7/8) = 3169/5766
1) -30/31 * 15/124 = -225/1922
2) -16/21 * (-7/8) = 2/3
3) -225/1922 + 2/3 = -675/5766 + 3844/5766 = 3169/5766
Четвертый пример.
(-51/58) ÷ (-17/25) - 25/27 * (-81/125) = 1 259/290
1) -51/58 ÷ (-17/25) = -51/58 * (-25/17) = 75/58 = 1 17/58
2) 25/27 * (-81/125) = -3/5
3) 75/58 + 3/5 = 375/290 + 174/290 = 549/290 = 1 259/290
Пошаговое объяснение:
1) -14/15 × 25/28 + (-36/37) ÷ (-6/37)=5 1\6
-14/15 × 25/28=-5\6
(-36/37) ÷ (-6/37) =-36\37*(-37\6)=6
-5\6+6=5 1\6
2) 26/27 × (-9/65) + (-100/101) ÷ 50/303 =-6 2\15
26/27 × (-9/65)=-2\15
(-100/101) ÷ 50/303 =-100\101*303\50=-6
-2\15+(-6)=-6 2\15
3)-30/31 × 15/124 + (-16/21) × (-7/8)=173\372
-30/31 × 15/124 =-25\124
(-16/21) × (-7/8)=2\3
-25\124+2\3=-75\372+248\372=173\372
4) (-51/58) ÷ (-17/25) - 25/27 × (-81/125)=-201\290
(-51/58) ÷ (-17/25) =-51\58*(-25\17)=-75\58
25/27 × (-81/125)=-3\5
-75\58-(-3\5)=-375\290+174\290=-201\290