LI: to practise finding the highest common factor and the lowest common multiple.
LI: to simplify fractions.This week for maths we were learning about the lowest common multiple and the greatest common factor. We learnt that the lowest common multiple is the lowest number that both numbers of the equation have in their times table. The greatest common factor has to be the highest matching amount that you can get from multiplying two numbers and it's the opposite for the lowest common multiple.
Number
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Problem: show working
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Answer in simplified fractions
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Answer in mixed numerals
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1
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⅗ + 8/12. ⅗ + 8/12 = 36/60 + 40/60, 36/60 + 40/60 = 76/60, 76/60 ÷ 3 = 19/15.
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19/15
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1 & 4/15
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2
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5/7 + 6/8 = 40/56 + 42/56, 40/56 + 42/56 = 82/56, 82/56 ÷ 2 = 41/28.
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41/28
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1 & 13/28
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3
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2/4 + 7/10 = 20/40 + 28/40. 20/40 + 28/40 = 48/40, 48/40 ÷ 3 = 6/5.
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6/5
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1 & 1/6
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4
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⅓ + 6/9 = 9/27 + 18/27, 9/27 + 18/27 = 27/27. 27/27 ÷ 3 = 9/9.
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1/1
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1 whole
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5
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⅘ + ⅙ = 24/30 + 5/30, 24/30 + 5/30 = 29/30
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29/30 (prime number)
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6
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5/8 + 5/16 = 80/128 + 40/128, 80/128 + 40/128 = 120/128. 120/128 ÷ 3 = 15/16.
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15/16
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7
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5/9 + ⅓ = 15/27 + 9/27, 15/27 + 9/27 = 24/27. 24/27 ÷ 3 = 8/9.
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8/9
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8
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4/12 + 6/18 = 72/216 + 72/216, 72/216 + 72/216 = 144/216. 144/216 ÷ 3 = 48/72
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2/3
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9
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7/21 + 5/15 = 105/315 + 105/315, 105/315 + 105/315 = 210/315. 210/315 ÷ 3 = 70/105
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2/3
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10
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6/18 + 24/32 = 192/576 + 432/576, 192/576 + 432/576 = 624/576. 624/576 ÷ 2 = 312/288
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312/288
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1 & 24/288
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11
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4/35 + 7/63 = 252/2205 + 245/2205, 252/2205 + 245/2205 = 497/2205. 497/2205 ÷ 7 = 71/315
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71/315
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12
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9/18 + 3/12 = 108/216 + 54/216, 108/216 + 54/216 = 162/216. 162/216 ÷ 3 = 54/72.
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3/4
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13
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43/100 + 28/50 = 2150/5000 + 2800/5000, 2150/5000 + 2800/5000 = 4950/5000. 4950/5000 ÷ 2 = 2475/2500
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99/100
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14
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8/56 + 7/63 = 504/3528 + 392/3528, 504/3528 + 392/3528 = 896/3528. 896/3528 ÷ 4 = 224/882.
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112/441
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15
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2/90 + 60/70 = 140/6300 + 5400/6300, 140/6300 + 5400/6300 = 5540/6300. 5540/6300 ÷ 4 = 1385/1575.
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277/315
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Number
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Problem
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Answer in simplified fractions
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Answer in mixed numerals
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1
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8/16 - 3/12 = 96/192 + 48/192, 96/192 + 48/192 = 144/192. 144/192 ÷ 2 = 72/96.
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72/96
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2
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¾ - 4/7 = 21/28 - 16/28, 21/28 - 16/28 = 5/28.
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3
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6/9 - ⅓ = 18/27 - 9/27, 18/27 - 9/27 = 9/27. 9/27 ÷ 3 = 3/9.
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3/9
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4
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21/30 - 6/15 = 315/450 - 180/450, 315 - 180 = 135/450. 135/450 ÷ 3 = 45/150.
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45/150
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5
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14/49 - 4/28 = 392/1372 - 196/1372, 392/1372 - 196/1372 = 196/1372. 196/1372 ÷ 2 = 98/686.
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98/686
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6
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32/64 - 2/8 = 256/512 - 128/512, 256/512 - 128/512 = 128/512. 128/512 ÷ 2 = 64/256.
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64/256
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7
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6/10 - ⅖ = 30/50 - 20/50, 30/50 - 20/50 = 10/50. 10/50 ÷ 2 = 5/25.
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5/25
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8
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18/20 - ⅗ = 90/100 - 60/100, 90/100 - 60/100 = 30/100. 30/100 ÷ 2 = 15/50.
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15/50
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9
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16/40 - 2/20 = 320/800 - 80/800, 320/800 - 80/800 = 240/800. 240/800 ÷ 4 = 60/200.
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60/200
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10
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80/100 - 30/60 = 4800/6000 - 3000/6000, 4800/6000 - 3000/6000 = 1800/6000. 1800/6000 ÷ 3 = 600/2000
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600/2000
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11
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21/30 - 4/15 = 315/450 - 120/450, 315/450 - 120/450 = 195/450. 195/450 ÷ 5 = 39/90
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39/90
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12
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50/100 - 25/50 = 2500/5000 - 2500/5000, 2500/5000 - 2500/5000 = 0/5000.
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13
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7/10 - 600/1000 = 7000/10000 - 6000/10000, 7000/10000 - 6000/10000 = 1000/10000. 1000/10000 ÷ 5 = 200/2000.
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200/2000
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14
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49/63 - 3/21 = 1029/1323 - 189/1323, 1029/1323 - 189/1323 = 840/1323. 840/1323 ÷ 3 = 280/441.
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280/441
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15
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4240/6000 - 2000/10000 = 42400000/60000000 - 12000000/60000000, 42400000/60000000 - 12000000/60000000 = 30400000/60000000. 30400000/60000000 ÷ 100 = 304/600.
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304/600
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