what are all the ratios that are equivalent to 8 : 10 ?
2:5
800:1000
oops. 4:5
To find all the ratios that are equivalent to 8:10, we need to simplify the given ratio. To simplify a ratio, we divide both terms of the ratio by their greatest common divisor (GCD). In this case, the GCD of 8 and 10 is 2.
Dividing 8 by 2 gives us 4, and dividing 10 by 2 gives us 5. Therefore, the simplified ratio is 4:5. This means any ratio that can be expressed as 4:5 is equivalent to the original ratio of 8:10.
Here are a few examples of equivalent ratios:
- 4:5
- 8:10
- 12:15
- 16:20
To generate other equivalent ratios, you can multiply both terms of the simplified ratio by the same number. For instance, if we multiply 4:5 by 2, we get 8:10, which is equivalent to the original ratio. Similarly, multiplying by 3 gives us 12:15, and so on.