Which ratios below are equivalent ratios to 8: 3? Select all that apply.

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Which ratios below are equivalent ratios to 8: 3? Select all that apply.

0.8: 0.3
4:2.5
16:6
32: 10
72:27
800: 300

Answer:

To determine which ratios are equivalent to 8:3, we need to find ratios that can be simplified to 8:3. This means we are looking for ratios that, when reduced to the simplest form, give us 8:3. Let’s simplify the given ratios: 1. 0.8:0.3 – To simplify this ratio, we multiply both parts by 10 to get rid of the decimal: 0.8 x 10 = 8 0.3 x 10 = 3 – The simplified ratio is 8:3. 2. 4:2.5 – This ratio cannot be simplified to 8:3 because 4 and 2.5 do not have a common factor other than 1. 3. 16:6 – To simplify this ratio, we find the greatest common factor of 16 and 6, which is 2: 16 ÷ 2 = 8 6 ÷ 2 = 3 – The simplified ratio is 8:3. 4. 32:10 – To simplify this ratio, we find the greatest common factor of 32 and 10, which is 2: 32 ÷ 2 = 16 10 ÷ 2 = 5 – The simplified ratio is 16:5. 5. 72:27 – To simplify this ratio, we find the greatest common factor of 72 and 27, which is 9: 72 ÷ 9 = 8 27 ÷ 9 = 3 – The simplified ratio is 8:3. 6. 800:300 – To simplify this ratio, we find the greatest common factor of 800 and 300, which is 100: 800 ÷ 100 = 8 300 ÷ 100 = 3 – The simplified ratio is 8:3. Therefore, the equivalent ratios to 8:3 are: – 0.8:0.3 – 16:6 – 72:27 – 800:300.

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