a) (-1/3 + 1/2) - [(2/3 - 3/4) - (-1/8 + 1/4)]
= (1/6) - [(2/3 - 3/4) - (3/8)]
= (1/6) - [(8/12 - 9/12) - (3/8)]
= (1/6) - [(1/12) - (3/8)]
= (1/6) - (-1/24)
= 5/24
b) [(5/6 - 1/4) + 1/8] + {1/5 - (2/3 - 1/12)}
= [(10/12 - 3/12) + 1/8] + {1/5 - (8/12 - 1/12)}
= (7/12 + 1/8) + {1/5 - (7/12)}
= (14/24 + 3/24) + [(12/60) - (35/60)]
= 17/24 - (23/60)
= 31/120
c) [(2/3 - 1/4) - (5/8 + 1/3)] - [-1/6 + (1/4 - 1/2)]
= [(8/12 - 3/12) - (10/16 + 4/12)] - [-1/6 + (3/12 - 6/12)]
= (5/12 - 19/48) - [-1/6 - 3/12]
= (5/12 - 19/48) - (-3/8)
= (5/12 - 19/48) + 3/8
= (20/48 - 19/48) + 18/48
= 19/48
d) [(3/4 - 1/2) + (1/8 - 1/6)] + [(2/5 - 1/4) - (-3/8 + 1/2)]
= [(6/8 - 4/8) + (3/24 - 4/24)] + [(8/20 - 5/20) - (6/16 + 8/16)]
= (2/8 + 1/24) + [(3/20) - (14/16)]
= (6/24 + 1/24) + [(3/20) - (35/40)]
= 7/24 - (17/40)
= 47/240
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a) (-1/3 + 1/2) - [(2/3 - 3/4) - (-1/8 + 1/4)]
= (1/6) - [(2/3 - 3/4) - (3/8)]
= (1/6) - [(8/12 - 9/12) - (3/8)]
= (1/6) - [(1/12) - (3/8)]
= (1/6) - (-1/24)
= 5/24
b) [(5/6 - 1/4) + 1/8] + {1/5 - (2/3 - 1/12)}
= [(10/12 - 3/12) + 1/8] + {1/5 - (8/12 - 1/12)}
= (7/12 + 1/8) + {1/5 - (7/12)}
= (14/24 + 3/24) + [(12/60) - (35/60)]
= 17/24 - (23/60)
= 31/120
c) [(2/3 - 1/4) - (5/8 + 1/3)] - [-1/6 + (1/4 - 1/2)]
= [(8/12 - 3/12) - (10/16 + 4/12)] - [-1/6 + (3/12 - 6/12)]
= (5/12 - 19/48) - [-1/6 - 3/12]
= (5/12 - 19/48) - (-3/8)
= (5/12 - 19/48) + 3/8
= (20/48 - 19/48) + 18/48
= 19/48
d) [(3/4 - 1/2) + (1/8 - 1/6)] + [(2/5 - 1/4) - (-3/8 + 1/2)]
= [(6/8 - 4/8) + (3/24 - 4/24)] + [(8/20 - 5/20) - (6/16 + 8/16)]
= (2/8 + 1/24) + [(3/20) - (14/16)]
= (6/24 + 1/24) + [(3/20) - (35/40)]
= 7/24 - (17/40)
= 47/240