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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”.

If you are given two numbers to determine, such as, what is the ratio of 24 to 48, you will need to divide both numbers by their greatest common factor. In this case, the greatest common factor is “8” so we would write it as follows:

24 ÷ 8 = 3

48 ÷ 8 = 6

The answer would then be stated: The ratio of 24 to 48 is 3:6

1.

What is the ratio of 12 to 144?

1:13

1:16

1:19

1:12

2.

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

3.

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

4.

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

5.

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

6.

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

7.

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

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 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

10.

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

The next step is:

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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