Answer:
1. 24:72
GCF:
24 - 1, 2, 3, 4, 6, 8, 12, 24
72 - 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
common factors: 1, 2, 3, 4, 6, 8, 12, 24
24÷24 : 72÷24
2. 72:3
3 - 1, 3
common factors: 1, 3
72÷3 : 3÷3
3. 24:3
24÷3 : 3÷3
4. 3:72
72 - 1, 2, 3, 4, 6, 8, 9 , 12, 18, 24, 36, 72
3÷3 : 72÷3
5. 3:96
96 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
3÷3 : 96÷3
CHECK:
1. 24:72 = 1:3
24 × 3 = 1 × 72
2. 72:3 = 24:1
72 × 1 = 3 × 24
3. 24:3 = 8:1
24 × 1 = 3 × 8
4. 3:72 = 1:24
3 × 24 = 72 × 1
5. 3:96 = 1:32
3 × 32 = 96 × 1
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Verified answer
Answer:
1. 24:72
GCF:
24 - 1, 2, 3, 4, 6, 8, 12, 24
72 - 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
common factors: 1, 2, 3, 4, 6, 8, 12, 24
GCF: 24
24÷24 : 72÷24
RATIO: 1:3
2. 72:3
GCF:
72 - 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
3 - 1, 3
common factors: 1, 3
GCF: 3
72÷3 : 3÷3
RATIO: 24:1
3. 24:3
GCF:
24 - 1, 2, 3, 4, 6, 8, 12, 24
3 - 1, 3
common factors: 1, 3
GCF: 3
24÷3 : 3÷3
RATIO: 8:1
4. 3:72
GCF:
3 - 1, 3
72 - 1, 2, 3, 4, 6, 8, 9 , 12, 18, 24, 36, 72
common factors: 1, 3
GCF: 3
3÷3 : 72÷3
RATIO: 1:24
5. 3:96
GCF:
3 - 1, 3
96 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
common factors: 1, 3
GCF: 3
3÷3 : 96÷3
RATIO: 1:32
CHECK:
1. 24:72 = 1:3
24 × 3 = 1 × 72
72 = 72 ✔️
2. 72:3 = 24:1
72 × 1 = 3 × 24
72 = 72 ✔️
3. 24:3 = 8:1
24 × 1 = 3 × 8
24 = 24 ✔️
4. 3:72 = 1:24
3 × 24 = 72 × 1
72 = 72 ✔️
5. 3:96 = 1:32
3 × 32 = 96 × 1
96 = 96 ✔️