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Determining a Ratio
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What is a ratio? A ratio is the way we can determine how one number is related to another number. A ratio may be written as “A:B” or A/B. It can also be phrased as “A to B”.
1.
What is the ratio of 12 to 144?
1:13
1:16
1:19
1:12
2.
What is the ratio of 25 to 75?
5:45
5:15
5:25
5:35
You must find the greatest common factor of 25 and 75. In this case the greatest common factor is “5”.
25 ÷ 5 = 5
75 ÷ 5 = 15
The ratio of 25 to 75 is 5:15. Answer (b) is the correct answer
25 ÷ 5 = 5
75 ÷ 5 = 15
The ratio of 25 to 75 is 5:15. Answer (b) is the correct answer
3.
What is the ratio of 15 to 20?
3:1
3:3
3:4
3:5
You must find the greatest common factor of 15 and 20. In this case the greatest common factor is “5”.
15 ÷ 5 = 3
20 ÷ 5 = 4
The ratio of 15 to 20 is 3:4. Answer (c) is the correct answer
15 ÷ 5 = 3
20 ÷ 5 = 4
The ratio of 15 to 20 is 3:4. Answer (c) is the correct answer
4.
What is the ratio of 121 to 66?
11:6
10:6
14:6
13:6
You must find the greatest common factor of 121 and 66. In this case the greatest common factor is “11”.
121 ÷ 11 = 11
66 ÷ 11 = 6
The ratio of 121 to 66 is 11:6. Answer (a) is the correct answer
121 ÷ 11 = 11
66 ÷ 11 = 6
The ratio of 121 to 66 is 11:6. Answer (a) is the correct answer
5.
What is the ratio of 9 to 81?
1:7
1:8
1:9
1:89
You must find the greatest common factor of 9 and 81. In this case the greatest common factor is “9”.
9 ÷ 9 = 1
81 ÷ 9 = 9
The ratio of 9 to 81 is 1:9. Answer (c) is the correct answer
9 ÷ 9 = 1
81 ÷ 9 = 9
The ratio of 9 to 81 is 1:9. Answer (c) is the correct answer
6.
What is the ratio of 14 to 21?
2:7
2:4
2:3
2:1
You must find the greatest common factor of 14 and 21. In this case the greatest common factor is “7”.
14 ÷ 7 = 2
21 ÷ 7 = 3
The ratio of 14 to 21 is 2:3. Answer (c) is the correct answer
14 ÷ 7 = 2
21 ÷ 7 = 3
The ratio of 14 to 21 is 2:3. Answer (c) is the correct answer
7.
What is the ratio of 24 to 32?
3:6
3:4
3:8
3:2
You must find the greatest common factor of 24 and 32. In this case the greatest common factor is “8”.
24 ÷ 8 = 3
32 ÷ 8 = 4
The ratio of 24 to 32 is 3:4. Answer (b) is the correct answer
24 ÷ 8 = 3
32 ÷ 8 = 4
The ratio of 24 to 32 is 3:4. Answer (b) is the correct answer
8.
What is the ratio of 100 to 150?
2:3
2:5
2:7
2:9
You must find the greatest common factor of 100 and 150. In this case the greatest common factor is “50”.
100 ÷ 50 = 2
150 ÷ 50 = 3
The ratio of 100 to 150 is 2:3. Answer (a) is the correct answer
100 ÷ 50 = 2
150 ÷ 50 = 3
The ratio of 100 to 150 is 2:3. Answer (a) is the correct answer
9.
What is the ratio of 6 to 10?
3:2
3:3
3:4
3:5
You must find the greatest common factor of 6 and 10. In this case the greatest common factor is “2”.
6 ÷ 2 = 3
10 ÷ 2 = 5
The ratio of 6 to 19 is 3:5. Answer (d) is the correct answer
6 ÷ 2 = 3
10 ÷ 2 = 5
The ratio of 6 to 19 is 3:5. Answer (d) is the correct answer
10.
What is the ratio of 12 to 36?
2:6
2:8
2:2
2:4
You must find the greatest common factor of 12 and 36. In this case the greatest common factor is “6”.
12 ÷ 6 = 2
36 ÷ 6 = 6
The ratio of 12 to 36 is 2:6. Answer (a) is the correct answer
12 ÷ 6 = 2
36 ÷ 6 = 6
The ratio of 12 to 36 is 2:6. Answer (a) is the correct answer
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12 ÷ 12 = 1
144 ÷ 12 = 12
The ratio of 12 to 144 is 1:12. Answer (d) is the correct answer