Question

Select three ratios that are equivalent to 4:3. Choose 3 answers: 8:6 9:12 20:15 32:24 36:28

Answer 1

8/6 = (4 * 2)/(3 * 2)

2 = 2, true

9/12 = (4 * 9/4)/(3 * 4)

9/4 != 4, false

20/15 = (4 * 5)/(3 * 5)

5 = 5, true

32/24 = (4 * 8)/(3 * 8)

8 = 8, true

36/28 = (4 * 9)/(3 * 28/3)

4 != 28/3, false

Answers: 8/6, 20/15, 32/24.

Answer 2

To find three ratios that are equivalent to 4:3, we need to find ratios that have the same value when simplified. A ratio is equivalent to another ratio if their cross products are equal.

Let's go through each answer choice and determine if they are equivalent to 4:3:

1. 8:6 To simplify this ratio, we divide both numbers by their greatest common divisor, which is 2. Dividing 8 by 2 gives us 4, and dividing 6 by 2 gives us 3. So, 8:6 is equivalent to 4:3.

2. 9:12 To simplify this ratio, we divide both numbers by their greatest common divisor, which is 3. Dividing 9 by 3 gives us 3, and dividing 12 by 3 gives us 4. So, 9:12 is not equivalent to 4:3.

3. 20:15 To simplify this ratio, we divide both numbers by their greatest common divisor, which is 5. Dividing 20 by 5 gives us 4, and dividing 15 by 5 gives us 3. So, 20:15 is equivalent to 4:3.

4. 32:24 To simplify this ratio, we divide both numbers by their greatest common divisor, which is 8. Dividing 32 by 8 gives us 4, and dividing 24 by 8 gives us 3. So, 32:24 is equivalent to 4:3.

5. 36:28 To simplify this ratio, we divide both numbers by their greatest common divisor, which is 4. Dividing 36 by 4 gives us 9, and dividing 28 by 4 gives us 7. So, 36:28 is not equivalent to 4:3.

Therefore, the three ratios that are equivalent to 4:3 are 8:6, 20:15, and 32:24.