well, the lowest is 5 : 6 , using whole numbers.
That one should appear.
Any others should be multiples of that, e.g. 25 : 30
That one should appear.
Any others should be multiples of that, e.g. 25 : 30
so, any ratio where 5/6 is multiplied by the same amount both on top and on bottom, will be equivalent
To simplify the ratio, divide both numbers by the GCD:
10 ÷ 2 = 5
12 ÷ 2 = 6
So, the simplified ratio is 5:6.
To find other equivalent ratios, multiply both numbers of the simplified ratio by the same factor:
5 × 2 = 10
6 × 2 = 12
Therefore, the equivalent ratios to 10:12 are 5:6, 10:12, and 10:12.
Step 1: Simplify the given ratio.
To simplify, find the greatest common divisor (GCD) of both numbers. In this case, the GCD of 10 and 12 is 2.
So, divide both 10 and 12 by 2:
10 ÷ 2 = 5
12 ÷ 2 = 6
The simplified form of the ratio 10:12 is 5:6.
Step 2: Multiply or divide both parts of the ratio by the same number.
To find equivalent ratios, you can multiply or divide both parts of the simplified ratio by the same number. Remember, when you perform this operation, the proportion between the two numbers remains the same.
For example, if we multiply both parts by 2:
5 × 2 = 10
6 × 2 = 12
Now, we have another equivalent ratio: 10:12
Similarly, you can calculate additional equivalent ratios by multiplying or dividing both parts by other numbers. For instance, if we divide both parts by 2:
5 ÷ 2 = 2.5
6 ÷ 2 = 3
This gives us another equivalent ratio: 2.5:3.
To answer the question, look for all the ratios among the options that are either 5:6, 10:12, or 2.5:3. Circle all the ratios that may apply according to the test's instructions.