Question

select all ratios equivalent to 12:10. 4:2 6:5 24:20

Explanation:

Step1: Simplify 12:10

Simplify the ratio \(12:10\) by dividing both terms by their greatest common divisor, which is 2. So, \(\frac{12}{2}:\frac{10}{2} = 6:5\).

Step2: Check 4:2

Simplify \(4:2\) by dividing both terms by 2: \(\frac{4}{2}:\frac{2}{2}=2:1\). Since \(2:1
eq6:5\), \(4:2\) is not equivalent to \(12:10\).

Step3: Check 6:5

We already found that \(12:10\) simplifies to \(6:5\), so \(6:5\) is equivalent.

Step4: Check 24:20

Simplify \(24:20\) by dividing both terms by 4: \(\frac{24}{4}:\frac{20}{4}=6:5\), which is the same as the simplified form of \(12:10\), so \(24:20\) is equivalent.

Answer:

The correct ratios equivalent to \(12:10\) are \(6:5\) and \(24:20\) (the middle and right options). The \(4:2\) is incorrect as shown in the steps. So the correct ones are:
B. 6:5
C. 24:20

(Note: Assuming the first option is A. 4:2, second B. 6:5, third C. 24:20)