Question

Need help ASAP

The ratios 5:3 and 10:6 are equivalent ratios.
Is the ratio 15:12 equivalent to these? Explain your reasoning.
Is the ratio 30:18 equivalent to these? Explain your reasoning.
Give two more examples of ratios that are equivalent to 5:3.
How do you know when ratios are equivalent and when they are not equivalent?
Write a definition of equivalent ratios.

Answer 1

Is the ratio 15:12 equivalent to these? No, it's not equivalent.

Why not? Because if we tripled everything in 5:3 then we'd get 15:9. We don't have the second value as 12.

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Is the ratio 30:18 equivalent to these? Yes it is equivalent

To go from 5:3 to 30:18, we multiply everything by 6

5*6 = 30

3*6 = 18

This shows that 5:3 scales up to 30:18

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Give two more examples of ratios that are equivalent to 5:3.

Pick any number you want. Let's say we pick 7. Multiply both parts of 5:3 by the value 7

5*7 = 35

3*7 = 21

The ratio 5:3 is equivalent to 35:21

The ratio 5:3 is also equivalent to 50:30 after multiplying both parts by 10.