Which ratio is the same as
12
82 12
92 10 12
11 9 12
Done ->
The ratio that is the same as 12 is:
92 : 10 : 12
To find the ratio that is the same as 12, we can simplify each given set of numbers:
1) The ratio 12:82 can be simplified by dividing both numbers by their greatest common divisor, which is 2. This gives us 6:41.
2) The ratio 92:10:12 can be simplified by dividing all three numbers by their greatest common divisor, which is 2. This gives us 46:5:6.
3) The ratio 11:9:12 cannot be simplified further because there is no common divisor greater than 1.
Therefore, the ratio that is the same as 12 is 11:9:12.
To determine which ratio is the same as the given number 12, we need to compare the given ratio to each option.
Let's break down each option:
Option 1: 12
This is not a complete ratio since it consists only of a single number. We need at least two numbers to form a ratio. Therefore, we can exclude this option.
Option 2: 82:12
This ratio can be simplified by dividing both numbers by their greatest common divisor. The greatest common divisor of 82 and 12 is 2, so we can simplify the ratio to 41:6. Thus, Option 2 is not the same as 12.
Option 3: 92:10:12
This is a three-part ratio. Let's simplify each part. Dividing all three numbers by their greatest common divisor, which is 2, we get 46:5:6. Therefore, Option 3 is not the same as 12.
Option 4: 11:9:12
This is also a three-part ratio. Dividing all three numbers by their greatest common divisor, which is 1 since there are no common factors, we get 11:9:12. Thus, Option 4 is the same as 12.
Therefore, the ratio in Option 4 (11:9:12) is the same as 12.
Done.