7.3k views
13 votes
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.

1 Answer

3 votes

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.

-------------------------------------

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

-------------------------------------

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.

User Arul Pandian
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.