kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4 + 8 = 12 and 1 + 8 = 9. is kareem…

Explanation:

Step1: Recall ratio - equivalence rule

Equivalent ratios are found by multiplying or dividing both terms of a ratio by the same non - zero number, not adding.

Step2: Simplify the ratios

For the ratio (4:1), it is in simplest form. For the ratio (12:9), we can find the greatest common divisor (GCD) of 12 and 9. The GCD of 12 and 9 is 3. Divide both terms of (12:9) by 3, we get (\frac{12}{3}:\frac{9}{3}=4:3).

Step3: Compare the ratios

Since (4:1\neq4:3), Kareem is incorrect.

Answer:

Kareem is not correct. Equivalent ratios are made by multiplying or dividing, not adding. Simplifying (12:9) gives (4:3\neq4:1).