1) -5/8 + 1/4 + 7/12 = -5*3/8*3 + 1*6/4*6 + 7*2/12*2 =
= -15/24 + 6/24 + 14/24 = (-15+6+14)/24 = 5/24
2) 1/5 + (-1/7) + 2/9 = 1/5 - 1/7 +2/9 =
= 1*7*9/5*7*9 - 1*5*9/7*5*9 + 2*5*7/9*5*7 =
= 63/315 - 45/315 + 70/315 = (63-45+70)/315 = 88/315
3) -1/8 +3/9 + (-5/36) = -1/8 + 3/9 - 5/36 =
= -1*9/8*9 + 3*8 /9*8 - 5*2/36*2 = -9/72 + 24/72 - 10/72 =
= (-9+24-10)/72 = 5/72
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Answers & Comments
1) -5/8 + 1/4 + 7/12 = -5*3/8*3 + 1*6/4*6 + 7*2/12*2 =
= -15/24 + 6/24 + 14/24 = (-15+6+14)/24 = 5/24
2) 1/5 + (-1/7) + 2/9 = 1/5 - 1/7 +2/9 =
= 1*7*9/5*7*9 - 1*5*9/7*5*9 + 2*5*7/9*5*7 =
= 63/315 - 45/315 + 70/315 = (63-45+70)/315 = 88/315
3) -1/8 +3/9 + (-5/36) = -1/8 + 3/9 - 5/36 =
= -1*9/8*9 + 3*8 /9*8 - 5*2/36*2 = -9/72 + 24/72 - 10/72 =
= (-9+24-10)/72 = 5/72