Question

19 multiple answer 5 points select all the ratios that are equivalent to 8:6. 7:5 4:3 10:8 6:8 16:12

Explanation:

Step1: Simplify the given ratio

To find equivalent ratios, we first simplify the given ratio \(8:6\). We can divide both terms by their greatest common divisor (GCD). The GCD of 8 and 6 is 2. So, \(\frac{8}{2}:\frac{6}{2}=4:3\).

Step2: Check each option

• For \(7:5\): The simplified form of \(7:5\) is \(7:5\) (since GCD of 7 and 5 is 1), which is not equal to \(4:3\), so it is not equivalent.
• For \(4:3\): We already found that \(8:6\) simplifies to \(4:3\), so this is equivalent.
• For \(10:8\): Simplify by dividing by 2, we get \(5:4\), which is not equal to \(4:3\), so it is not equivalent.
• For \(6:8\): Simplify by dividing by 2, we get \(3:4\), which is not equal to \(4:3\), so it is not equivalent.
• For \(16:12\): Divide both terms by 4 (GCD of 16 and 12 is 4), we get \(\frac{16}{4}:\frac{12}{4}=4:3\), which is equal to the simplified form of \(8:6\), so this is equivalent.

Answer:

B. \(4:3\), E. \(16:12\)