1. 45% - 1/4 + 3 2/5
= 45/100 - 1/4 + 17/5
= 9/20 - 1/4 + 17/5
= (20 ÷ 20) × 9 - (20 ÷ 4) × 1 + (20 ÷ 5) × 17/20
= (1 × 9) - (5 × 1) + (4 × 17)/20
= 9 - 5 + 68/20
= 4 + 68/20
= 72 ÷ 4/20 ÷ 4
= 18/5
= 3 3/5
2. 2/5 + 1,25 - 4/10
= 2/5 + 125/100 - 2/5
= 2/5 + 5/4 - 2/5
= (20 ÷ 5) × 2 + (20 ÷ 4) × 5 - (20 ÷ 5) × 2/20
= (4 × 2) + (5 × 5) - (4 × 2)/20
= 8 + 25 - 8/20
= 32 - 8/20
= 24 ÷ 4/20 ÷ 4
= 6/5
= 1 1/5
3. 0,85 - 0,27 + 2 3/5
= 85/100 - 27/100 + 17/5
= 17/20 - 27/100 + 17/5
= (100 ÷ 20) × 17 - (100 ÷ 100) × 27 + (100 ÷ 5) × 17/100
= (5 × 17) - (1 × 27) + (20 × 17)/100
= 85 - 27 + 340/100
= 58 + 340/100
= 398 ÷ 2/100 ÷ 2
= 199/50
= 3 49/50
4. 80% - 2/10 - 1,05
= 80/100 - 1/5 - 105/100
= 4/5 - 1/5 - 21/20
= (20 ÷ 5) × 4 - (20 ÷ 5) × 1 - (20 ÷ 20) × 21/20
= (4 × 4) - (4 × 1) - (1 × 21)/20
= 16 - 4 - 21/20
= 12 - 21/20
= -9/20
5. 1 4/5 - (0,5 + 1/2)
= 9/5 - (5/10 + 1/2)
= 9/5 - (1/2 + 1/2)
= 9/5 - (1 + 1/2)
= 9/5 - 2/2
= 9/5 - 1/1
= (5 ÷ 5) × 9 - (5 ÷ 1) × 1/5
= (1 × 9) - (5 × 1)/5
= 9 - 5/5
= 4/5
6. 8,92 + 3/4 - 75%
= 892 ÷ 4/100 ÷ 4 + 3/4 - 75/100
= 223/25 + 3/4 - 3/4
= (100 ÷ 25) × 223 + (100 ÷ 4) × 3 - (100 ÷ 4) × 3/100
= (4 × 223) + (25 × 3) - (25 × 3)/100
= 892 + 75 - 75/100
= 967 - 75/100
= 892 ÷ 4/100 ÷ 4
= 223/25
= 8 23/25
7. 6,8 - (25% + 2 1/4) - 1,5
= 68/10 - (25/100 + 9/2) - 15/10
= 34/5 - (1/4 + 9/2) - 3/2
= 34/5 - ((4 ÷ 4) × 1 + (4 ÷ 2) × 9/4)) - 3/2
= 34/5 - ((1 × 1) + (2 × 9)/4)) - 3/2
= 34/5 - ((1 + 18/4) - 3/2
= 34/5 - 19/4 - 3/2
= (20 ÷ 5) × 34 - (20 ÷ 4) × 19 - (20 ÷ 2) × 3/20
= (4 × 34) - (5 × 19) - (10 × 3)/20
= 136 - 95 - 30/20
= 41 - 30/20
= 11/20
8. 2 2/8 + 4,8 - 3,5
= 18 ÷ 2/8 ÷ 2 + 48/10 - 35/10
= 9/4 + 24/2 - 7/2
= (4 ÷ 4) × 9 + (4 ÷ 2) × 24 - (4 ÷ 2) × 7/4
= (1 × 9) + (2 × 24) - (2 × 7)/4
= 9 + 48 - 14/4
= 57 - 14/4
= 43/4
= 10 3/4
9. 9 2/5 - 4,8 + (1 3/4 - 50%)
= 47/5 - 48/10 + (7/4 - 50/100)
= 47/5 - 24/5 + (7/4 - 1/2)
= 47 - 24/5 + (4 ÷ 4) × 7 - (4 ÷ 2) × 1/4)
= 23/5 + (1 × 7) - (2 × 1/4)
= 23/5 + (7 - 2/4)
= 23/5 + 5/4
= (20 ÷ 5) × 23 + (20 ÷ 4) × 5/20
= (4 × 23) + (5 × 5)/20
= 92 + 25/20
= 117/20
= 5 17/20
10. 2/3 + 3,5 - 0,75
= 2/3 + 35/10 - 75/100
= 2/3 + 7/2 - 3/4
= (12 ÷ 3) × 2 + (12 ÷ 2) × 7 - (12 ÷ 4) × 3/12
= (4 × 2) + (6 × 7) - (3 × 3)/12
= 8 + 42 - 9/12
= 50 - 9/12
= 41/12
= 3 5/12
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1. 45% - 1/4 + 3 2/5
= 45/100 - 1/4 + 17/5
= 9/20 - 1/4 + 17/5
= (20 ÷ 20) × 9 - (20 ÷ 4) × 1 + (20 ÷ 5) × 17/20
= (1 × 9) - (5 × 1) + (4 × 17)/20
= 9 - 5 + 68/20
= 4 + 68/20
= 72 ÷ 4/20 ÷ 4
= 18/5
= 3 3/5
2. 2/5 + 1,25 - 4/10
= 2/5 + 125/100 - 2/5
= 2/5 + 5/4 - 2/5
= (20 ÷ 5) × 2 + (20 ÷ 4) × 5 - (20 ÷ 5) × 2/20
= (4 × 2) + (5 × 5) - (4 × 2)/20
= 8 + 25 - 8/20
= 32 - 8/20
= 24 ÷ 4/20 ÷ 4
= 6/5
= 1 1/5
3. 0,85 - 0,27 + 2 3/5
= 85/100 - 27/100 + 17/5
= 17/20 - 27/100 + 17/5
= (100 ÷ 20) × 17 - (100 ÷ 100) × 27 + (100 ÷ 5) × 17/100
= (5 × 17) - (1 × 27) + (20 × 17)/100
= 85 - 27 + 340/100
= 58 + 340/100
= 398 ÷ 2/100 ÷ 2
= 199/50
= 3 49/50
4. 80% - 2/10 - 1,05
= 80/100 - 1/5 - 105/100
= 4/5 - 1/5 - 21/20
= (20 ÷ 5) × 4 - (20 ÷ 5) × 1 - (20 ÷ 20) × 21/20
= (4 × 4) - (4 × 1) - (1 × 21)/20
= 16 - 4 - 21/20
= 12 - 21/20
= -9/20
5. 1 4/5 - (0,5 + 1/2)
= 9/5 - (5/10 + 1/2)
= 9/5 - (1/2 + 1/2)
= 9/5 - (1 + 1/2)
= 9/5 - 2/2
= 9/5 - 1/1
= (5 ÷ 5) × 9 - (5 ÷ 1) × 1/5
= (1 × 9) - (5 × 1)/5
= 9 - 5/5
= 4/5
6. 8,92 + 3/4 - 75%
= 892 ÷ 4/100 ÷ 4 + 3/4 - 75/100
= 223/25 + 3/4 - 3/4
= (100 ÷ 25) × 223 + (100 ÷ 4) × 3 - (100 ÷ 4) × 3/100
= (4 × 223) + (25 × 3) - (25 × 3)/100
= 892 + 75 - 75/100
= 967 - 75/100
= 892 ÷ 4/100 ÷ 4
= 223/25
= 8 23/25
7. 6,8 - (25% + 2 1/4) - 1,5
= 68/10 - (25/100 + 9/2) - 15/10
= 34/5 - (1/4 + 9/2) - 3/2
= 34/5 - ((4 ÷ 4) × 1 + (4 ÷ 2) × 9/4)) - 3/2
= 34/5 - ((1 × 1) + (2 × 9)/4)) - 3/2
= 34/5 - ((1 + 18/4) - 3/2
= 34/5 - 19/4 - 3/2
= (20 ÷ 5) × 34 - (20 ÷ 4) × 19 - (20 ÷ 2) × 3/20
= (4 × 34) - (5 × 19) - (10 × 3)/20
= 136 - 95 - 30/20
= 41 - 30/20
= 11/20
8. 2 2/8 + 4,8 - 3,5
= 18 ÷ 2/8 ÷ 2 + 48/10 - 35/10
= 9/4 + 24/2 - 7/2
= (4 ÷ 4) × 9 + (4 ÷ 2) × 24 - (4 ÷ 2) × 7/4
= (1 × 9) + (2 × 24) - (2 × 7)/4
= 9 + 48 - 14/4
= 57 - 14/4
= 43/4
= 10 3/4
9. 9 2/5 - 4,8 + (1 3/4 - 50%)
= 47/5 - 48/10 + (7/4 - 50/100)
= 47/5 - 24/5 + (7/4 - 1/2)
= 47 - 24/5 + (4 ÷ 4) × 7 - (4 ÷ 2) × 1/4)
= 23/5 + (1 × 7) - (2 × 1/4)
= 23/5 + (7 - 2/4)
= 23/5 + 5/4
= (20 ÷ 5) × 23 + (20 ÷ 4) × 5/20
= (4 × 23) + (5 × 5)/20
= 92 + 25/20
= 117/20
= 5 17/20
10. 2/3 + 3,5 - 0,75
= 2/3 + 35/10 - 75/100
= 2/3 + 7/2 - 3/4
= (12 ÷ 3) × 2 + (12 ÷ 2) × 7 - (12 ÷ 4) × 3/12
= (4 × 2) + (6 × 7) - (3 × 3)/12
= 8 + 42 - 9/12
= 50 - 9/12
= 41/12
= 3 5/12