Choose all of the equivalent ratios to 6:18
7:21
1:3
2:6
3:9
4:12
6:18 reduces to 1:3
as do ALL of the provided responses
To determine the equivalent ratios to 6:18, we need to find ratios that can be simplified to the same ratio.
Let's simplify each ratio:
7:21 simplifies to 1:3 (divide both sides by 7)
1:3 is equivalent to 6:18
2:6 simplifies to 1:3 (divide both sides by 2)
3:9 simplifies to 1:3 (divide both sides by 3)
4:12 simplifies to 1:3 (divide both sides by 4)
Therefore, the equivalent ratios to 6:18 are:
1:3
2:6
3:9
4:12
To find the equivalent ratios to 6:18, we need to find the ratios that have the same value or proportion as the given ratio.
To do this, we can simplify the given ratio by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 6 and 18 is 6.
Dividing both 6 and 18 by 6, we get:
6 ÷ 6 = 1
18 ÷ 6 = 3
So, the simplified ratio is 1:3.
Now let's check each of the given ratios to see which ones are equivalent to 6:18:
7:21
To simplify this ratio, we divide both 7 and 21 by their GCD, which is 7. Dividing, we get:
7 ÷ 7 = 1
21 ÷ 7 = 3
The simplified ratio is 1:3, which is equivalent to 6:18.
1:3
We have already determined that this is the simplified ratio, so it is equivalent to 6:18.
2:6
To simplify this ratio, we divide both 2 and 6 by their GCD, which is 2. Dividing, we get:
2 ÷ 2 = 1
6 ÷ 2 = 3
The simplified ratio is 1:3, which is equivalent to 6:18.
3:9
To simplify this ratio, we divide both 3 and 9 by their GCD, which is 3. Dividing, we get:
3 ÷ 3 = 1
9 ÷ 3 = 3
The simplified ratio is 1:3, which is equivalent to 6:18.
4:12
To simplify this ratio, we divide both 4 and 12 by their GCD, which is 4. Dividing, we get:
4 ÷ 4 = 1
12 ÷ 4 = 3
The simplified ratio is 1:3, which is equivalent to 6:18.
In conclusion, all of the given ratios, 7:21, 1:3, 2:6, 3:9, and 4:12, are equivalent to 6:18.