a) 4/4 × 3/2 = 2/6 = 1/3
b) 1/9 + 25 = 25 1/9
c) (3 2/6 - 5/6) × 4/15 = 2 3/6 × 4/15 = 15/6 × 4/15 = 1/3 × 2/1 = 2/3
d) (9/8 - 4/8) × (9/15 × 5/15) = 5/8 × (3/3 × 3/5) = 5/8 × 9/15 = 1/8 × 9/3 = 9/24 = 3/8
e) 18/15 × 25/15 × 1/7 + (1 1/7)² = 6/3 × 5/5 × 1/7 + (1 1/7)² = 30/15 × 1/7 + (1 1/7)² = 14/7 × 1/7 + (1 1/7)² = 2/7 × 1/1 + (1 1/7)² = 2/7 + (8/7)² = 2/7 + (8/7 × 8/7) = 2/7 + 64/49 = 14/49 + 64/49 = 78/49 = 1 29/49
f) (1 7/6 - 4/6)² - 2 1/5 = (1 3/6)² - 2 1/5 = (3/2)² - 2 1/5 = 9/4 - 2 1/5 = 45/20 - 44/20 = 1/20
g) 10 - 2 × (3 1/5 - 1 15/12 × 4/12) = 10 - 2 × (3 1/5 - 1 11/12) = 10 - 2 × (2 72/60 - 1 55/60) = 10 - 2 × 1 17/60 = 10 - 2 34/60 = 7 26/60 = 7 13/30
h) (28/12 - 5/12 + 18/12) : (1 21/12 - 10/12) = 40/12 : 1 11/12 = 40/12 × 12/23 = 40/1 × 1/23 = 40/23 = 1 17/23
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a) 4/4 × 3/2 = 2/6 = 1/3
b) 1/9 + 25 = 25 1/9
c) (3 2/6 - 5/6) × 4/15 = 2 3/6 × 4/15 = 15/6 × 4/15 = 1/3 × 2/1 = 2/3
d) (9/8 - 4/8) × (9/15 × 5/15) = 5/8 × (3/3 × 3/5) = 5/8 × 9/15 = 1/8 × 9/3 = 9/24 = 3/8
e) 18/15 × 25/15 × 1/7 + (1 1/7)² = 6/3 × 5/5 × 1/7 + (1 1/7)² = 30/15 × 1/7 + (1 1/7)² = 14/7 × 1/7 + (1 1/7)² = 2/7 × 1/1 + (1 1/7)² = 2/7 + (8/7)² = 2/7 + (8/7 × 8/7) = 2/7 + 64/49 = 14/49 + 64/49 = 78/49 = 1 29/49
f) (1 7/6 - 4/6)² - 2 1/5 = (1 3/6)² - 2 1/5 = (3/2)² - 2 1/5 = 9/4 - 2 1/5 = 45/20 - 44/20 = 1/20
g) 10 - 2 × (3 1/5 - 1 15/12 × 4/12) = 10 - 2 × (3 1/5 - 1 11/12) = 10 - 2 × (2 72/60 - 1 55/60) = 10 - 2 × 1 17/60 = 10 - 2 34/60 = 7 26/60 = 7 13/30
h) (28/12 - 5/12 + 18/12) : (1 21/12 - 10/12) = 40/12 : 1 11/12 = 40/12 × 12/23 = 40/1 × 1/23 = 40/23 = 1 17/23