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"ITU YG ATAS CARA PENGERJAANNYA"
MAKASIH ^^
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1. 2,5 + 1 3/4 ÷ 2 1/4
= 25/10 + 7/4 × 9/2
= 5/2 + 7/4 × 2/9
= 5/2 + (7 × 2/4 × 9)
= 5/2 + 14/36
= 5/2 + 7/18
= (18 ÷ 2) × 5 + (18 ÷ 18) × 7/18
= (9 × 5) + (1 × 7)/18
= 45 + 7/18
= 52 ÷ 2/18 ÷ 2
= 26/9
= 2 8/9
2. (1 2/3 × 3/5) + (25/9 + 2/10)
= (5/3 × 3/5) + (25/9 + 1/5)
= (5 × 3/3 × 5) + ((45 ÷ 9) × 25 + (45 ÷ 5) × 1/9))
= 15/15 + ((5 × 25) + (9 × 1/9))
= 1/1 + ((125 + 9/9))
= 1/1 + 134/9
= (9 ÷ 1) × 1 + (9 ÷ 9) × 134/9
= (9 × 1) + (1 × 134)/9
= 9 + 134/9
= 143/9
= 15 8/9
3. 0,5 + 30% × 0,3
= 5/10 + 30/100 × 3/10
= 1/2 + 3/10 × 3/10
= 1/2 + (3 × 3/10 × 10)
= 1/2 + 9/100
= (100 ÷ 2) × 1 + (100 ÷ 100) × 9/9
= (50 × 1) + (1 × 9)/9
= 50 + 9
= 59/9
= 6 5/9
4. 50% + 7,5 × 1/25 - 1 1/4
= 50/100 + 75/10 × 1/25 - 5/4
= 1/2 + 15/2 × 1/25 - 5/4
= 1/2 + (15 × 1/2 × 25) - 5/4
= 1/2 + 15/50 - 5/4
= 1/2 + 3/10 - 5/4
= (20 ÷ 2) × 1 + (20 ÷ 10) × 3 - (20 ÷ 4) × 3/20
= (10 × 1) + (2 × 3) - (5 × 3)/20
= 10 + 6 - 15/20
= 16 - 15/20
= 1/20
5. (6/9 ÷ 2/3) - (0,63 × 1 1/9)
= (6/9 × 2/3) - (63/100 × 10/9)
= (6/9 × 3/2) - (63 × 10/100 × 9)
= (6 × 3/9 × 2) - (630/900)
= 18/18 - 7/10
= 1/1 - 7/10
= (10 ÷ 1) × 1 - (10 ÷ 10) × 7/10
= (10 × 1) - (1 × 7)/10
= 10 - 7/10
= 3/10
6. 6/8 × 2/3 + (3/2 - 1/4) ÷ 1/2
= 6/8 × 2/3 + ((4 ÷ 2) × 3 - (4 ÷ 4) × 1)/4) × 1/2
= 6/8 × 2/3 + ((2 × 3) - (1 × 1/4)) × 1/2
= 6/8 × 2/3 + ((6 - 1/4)) × 1/2
= (6 × 2/8 × 3) + 5/4 × 1/2
= 12/24 + (5 × 1/4 × 2)
= 2/4 + 5/8
= (8 ÷ 4) × 2 + (8 ÷ 8) × 5/8
= (2 × 2) + (1 × 5)/8
= 4 + 5/8
= 9/8
= 1 1/8
7. 5 ÷ (1/2 + 3/4) + 25% - 1 1/4
= 5/1 × ((4 ÷ 2) × 1 + (4 ÷ 4) × 3/4)) + 25/100 - 5/4
= 5/1 × ((2 × 1) + (1 × 3/4)) + 1/4 - 5/4
= 5/1 × ((2 + 3/4)) + 1/4 - 5/4
= 5/1 × 5/4 + 1/4 - 5/4
= 5/1 × 4/5 + 1/4 - 5/4
= (5 × 4/1 × 5) + 1/4 - 5/4
= 20/5 + 1/4 - 5/4
= 4/1 + 1/4 - 5/4
= (4 ÷ 1) × 4 + (4 ÷ 4) × 1 - (4 ÷ 4) × 5/4
= (4 × 4) + (1 × 1) - (1 × 5)/4
= 16 + 1 - 5/4
= 17 - 5/4
= 12/4
= 3
8. 3,5 ÷ 3/4 + 3 3/5 × 2/3
= 35/10 × 3/4 + 18/5 × 2/3
= 7/2 × 3/4 + (18 × 2/5 × 3)
= 7/2 × 4/3 + 36/15
= (7 × 4/2 × 3) + 12/5
= 28/6 + 12/5
= 14/3 + 12/5
= (15 ÷ 3) × 14 + (15 ÷ 5) × 12/15
= (5 × 14) + (3 × 12)/15
= 70 + 36/15
= 106/15
= 7 1/15
9. 2 2/6 + 1/6 ÷ 1 1/2 × 2 1/3
= 14/6 + 1/6 × 3/2 × 7/3
= 7/3 + 1/6 × 2/3 × 7/3
= 7/3 + (1 × 2 × 7/6 × 3 × 3)
= 7/3 + (2 × 7/18 × 3)
= 7/3 + 14/54
= 7/3 + 7/27
= (27 ÷ 3) × 7 + (27 ÷ 27) × 7/27
= (9 × 7) + (1 × 7)/27
= 63 + 7/27
= 90 ÷ 9/27 ÷ 9
= 10/3
= 3 1/3
10. 1 1/8 ÷ 1 1/4 + 2 1/3 × 1/7
= 9/8 × 5/4 + 7/3 × 1/7
= 9/8 × 4/5 + 7/3 × 1/7
= (9 × 4/8 × 5) + (7 × 1/3 × 7)
= 36/40 + 7/21
= 9/10 + 1/3
= (30 ÷ 10) × 9 + (30 ÷ 3) × 1/30
= (3 × 9) + (10 × 1)/30
= 27 + 10/30
= 37/30
= 1 7/30