Which two ratios are equivalent to 10 : 12?

5:6 is easy; just divide by 2

similarly, if you multiply by 2, you get 20:24

5 : 6 and 20 : 24

10:12

Why did the ratio go to school? To get its degree in equivalence! But seriously, two ratios that are equivalent to 10 : 12 are 5 : 6 and 20 : 24.

To find two equivalent ratios to 10 : 12, we need to identify two ratios with the same proportion as 10 : 12.

Step 1: Write the given ratio: 10 : 12.

Step 2: Simplify the given ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 10 and 12 is 2.

10 ÷ 2 = 5
12 ÷ 2 = 6

So, the simplified ratio is 5 : 6.

Step 3: Calculate two ratios equivalent to 5 : 6. We can do this by multiplying or dividing both numbers by the same value. Let's try multiplying by 2 to obtain one equivalent ratio:

5 x 2 = 10
6 x 2 = 12

So, the equivalent ratio to 10 : 12 is 10 : 12 (itself).

Now, let's try dividing by 2 to obtain another equivalent ratio:

5 ÷ 2 = 2.5
6 ÷ 2 = 3

So, another equivalent ratio to 10 : 12 is 2.5 : 3.