1.
a. 11 6/15 × 2 18/20 ÷ 7,2 + 1 8/9
= 171/15 × 58/20 × 72/10 + 17/9
= 171/15 × 29/10 × 36/5 + 17/9
= 171/15 × 29/10 × 5/36 + 17/9
= (171 × 29 × 5/15 × 10 × 36) + 17/9
= (4.959 × 5/150 × 36) + 17/9
= 24.795 ÷ 45/5.400 ÷ 45 + 17/9
= 551/120
= 4 71/120
b. 33 1/2 - 7 × 8 ÷ 2 - 5,5
= 67/2 - 7/1 × 8/1 × 2/1 - 55/10
= 67/2 - (7 × 8 × 2/1 × 1 × 1) - 11/2
= 67/2 - (56 × 2/1 × 1) - 11/2
= 67/2 - 112/1 - 11/2
= (2 ÷ 2) × 67 - (2 ÷ 1) × 112 - (2 ÷ 2) × 11/2
= (1 × 67) - (2 × 112) - (1 × 11)/2
= 67 - 224 - 11/2
= -157 - 11/2
= -168/2
= (-84)
c. 25 - 3/2 - 2 ÷ 1 5/7 × 3
= 25/1 - 3/2 - 2/1 × 12/7 × 3/1
= 25/1 - 3/2 - 2/1 × 7/12 × 3/1
= 25/1 - 3/2 - (2 × 7 × 3/1 × 12 × 1)
= 25/1 - 3/2 - (14 × 3/12 × 1)
= 25/1 - 3/2 - 42/12
= 25/1 - 3/2 - 21/6
= (6 ÷ 1) × 25 - (6 ÷ 2) × 3 - (6 ÷ 6) × 21/6
= (6 × 25) - (3 × 3) - (1 × 21)/6
= 150 - 9 - 21/6
= 141 - 21/6
= 120/6
= 20
d. 2/3 × (0,72 ÷ 12/25) + 3 - 5/10
= 2/3 × (72/100 × 12/25) + 3/1 - 1/2
= 2/3 × (36/50 × 25/12) + 3/1 - 1/2
= 2/3 × (18/25 × 25/12) + 3/1 - 1/2
= 2/3 × (18 × 25/25 × 12) + 3/1 - 1/2
= 2/3 × 450/300 + 3/1 - 1/2
= 2/3 × 3/2 + 3/1 - 1/2
= (2 × 3/3 × 2) + 3/1 - 1/2
= 6/6 + 3/1 - 1/2
= 1/1 + 3/1 - 1/2
= (2 ÷ 1) × 1 + (2 ÷ 1) × 3 - (2 ÷ 2) × 1/2
= (2 × 1) + (2 × 3) - (1 × 1)/2
= 2 + 6 - 1/2
= 8 - 1/2
= 7/2
= 3 1/2
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1.
a. 11 6/15 × 2 18/20 ÷ 7,2 + 1 8/9
= 171/15 × 58/20 × 72/10 + 17/9
= 171/15 × 29/10 × 36/5 + 17/9
= 171/15 × 29/10 × 5/36 + 17/9
= (171 × 29 × 5/15 × 10 × 36) + 17/9
= (4.959 × 5/150 × 36) + 17/9
= 24.795 ÷ 45/5.400 ÷ 45 + 17/9
= 551/120
= 4 71/120
b. 33 1/2 - 7 × 8 ÷ 2 - 5,5
= 67/2 - 7/1 × 8/1 × 2/1 - 55/10
= 67/2 - (7 × 8 × 2/1 × 1 × 1) - 11/2
= 67/2 - (56 × 2/1 × 1) - 11/2
= 67/2 - 112/1 - 11/2
= (2 ÷ 2) × 67 - (2 ÷ 1) × 112 - (2 ÷ 2) × 11/2
= (1 × 67) - (2 × 112) - (1 × 11)/2
= 67 - 224 - 11/2
= -157 - 11/2
= -168/2
= (-84)
c. 25 - 3/2 - 2 ÷ 1 5/7 × 3
= 25/1 - 3/2 - 2/1 × 12/7 × 3/1
= 25/1 - 3/2 - 2/1 × 7/12 × 3/1
= 25/1 - 3/2 - (2 × 7 × 3/1 × 12 × 1)
= 25/1 - 3/2 - (14 × 3/12 × 1)
= 25/1 - 3/2 - 42/12
= 25/1 - 3/2 - 21/6
= (6 ÷ 1) × 25 - (6 ÷ 2) × 3 - (6 ÷ 6) × 21/6
= (6 × 25) - (3 × 3) - (1 × 21)/6
= 150 - 9 - 21/6
= 141 - 21/6
= 120/6
= 20
d. 2/3 × (0,72 ÷ 12/25) + 3 - 5/10
= 2/3 × (72/100 × 12/25) + 3/1 - 1/2
= 2/3 × (36/50 × 25/12) + 3/1 - 1/2
= 2/3 × (18/25 × 25/12) + 3/1 - 1/2
= 2/3 × (18 × 25/25 × 12) + 3/1 - 1/2
= 2/3 × 450/300 + 3/1 - 1/2
= 2/3 × 3/2 + 3/1 - 1/2
= (2 × 3/3 × 2) + 3/1 - 1/2
= 6/6 + 3/1 - 1/2
= 1/1 + 3/1 - 1/2
= (2 ÷ 1) × 1 + (2 ÷ 1) × 3 - (2 ÷ 2) × 1/2
= (2 × 1) + (2 × 3) - (1 × 1)/2
= 2 + 6 - 1/2
= 8 - 1/2
= 7/2
= 3 1/2