Picture This! Reducing Fractions - SOESD

Picture This! Reducing Fractions - SOESD

Picture This! Reducing Fractions with a multiplication table If you have 8 12 and want to reduce it to lowest terms, you might know to divide top and bottom by 4, so you get 2 3 But what if you didnt know how to do that? You can just take your fraction and 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 1

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

34 36 38 40 3 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 4 4 8 12 16 20 24 28 32 36

40 44 48 52 56 60 64 68 72 76 80 5 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 6 6 12 18

24 30 36 42 48 54 60 66 72 78 84 90 96 102 108 114 120 7 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112 119

126 133 140 8 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120 128 136 144 152 160 9 9 18 27 36 45 54 63 72 81 90 99

108 117 126 135 144 153 162 171 180 10 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 11 11 22 33 44

55 66 77 88 99 110 121 132 143 154 165 176 187 198 209 220 12 12 24 36 48 60 72 84 96 108 120 132 144 156 168 180 192 204 216 228

240 13 13 26 39 52 65 78 91 104 117 130 143 156 169 182 195 208 221 234 247 260 14 14 26 39 52 65 78 91 104 117 130 143 156

169 182 195 208 221 234 247 260 15 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 16 16 32 48 64 80 96

112 128 144 160 176 192 208 224 240 256 272 288 304 320 17 17 34 51 68 85 102 119 136 153 170 187 204 221 238 255 272 289 306 323 340

18 18 36 54 72 90 108 126 144 162 180 198 216 234 252 270 288 306 324 342 360 19 19 38 57 76 95 114 133 152 171 190 209 228 247 266

285 304 323 342 361 380 20 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 Grab a multiplication table Find the numerator AND denominator in one of the columns And look left 8 12 reduces to

2 3 But what if you saw 8 and 12 here? Look left You see 4 and 6 8 12 = 4 6 So far, so good Now find the 4 and 6 in the same column Look left 4 6 reduces to 2 3 Whatever you do to the bottom, you have to do to the top 2 2 2 8 12 = 2 2 4 6 = 2 2 3

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