Question

select all ratios equivalent to 8:12. 13:24 32:48 12:18 submit

Explanation:

Step1: Simplify the given ratio

First, simplify the ratio \(8:12\) by dividing both terms by their greatest common divisor (GCD). The GCD of 8 and 12 is 4. So, \(\frac{8}{4}:\frac{12}{4}=2:3\).

Step2: Simplify each option

• For \(13:24\): The GCD of 13 and 24 is 1, so it cannot be simplified to \(2:3\).
• For \(32:48\): The GCD of 32 and 48 is 16. Dividing both terms by 16, we get \(\frac{32}{16}:\frac{48}{16}=2:3\), which is equivalent to \(8:12\).
• For \(12:18\): The GCD of 12 and 18 is 6. Dividing both terms by 6, we get \(\frac{12}{6}:\frac{18}{6}=2:3\), which is equivalent to \(8:12\).

Answer:

32:48, 12:18