Question

Select the correct answer.

Choose the ratio that is equivalent to this one:7/4

OA. 21/8
OB.12/21
OC. 21/12

Answer 1

The correct answer is Option A: 21/12. This ratio, when simplified, equals 7/4, making it equivalent to the original ratio.

Step-by-step explanation:

To find a ratio equivalent to 7/4, we look for a pair of numbers that have the same relationship when reduced to lowest terms. This means the second number should be four times the first number, as 4 is to 7. Multiplying both terms of 7/4 by 2 gives us 14/8, which simplifies back to 7/4, confirming the multiplication by 2 keeps the ratio equivalent. Now, let's examine the choices given:

• Option A: 21/12 is not equivalent to 7/4 because when simplified (dividing both terms by their greatest common divisor, which is 3), it becomes 7/4.
• Option B: 12/21 simplifies to 4/7, which is the inverse of 7/4, so it is not equivalent.
• Option C: 21/12 simplifies to 7/4, which means it is equivalent to the original ratio.

Therefore, the correct answer is Option A: 21/12, which is equivalent to the ratio 7/4.