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What is the number of cherry to strawberry in simplest form?

a) \(25:14\)
b) \(5:2\)
c) \(9:4\)
d) \(50:28\)

1 Answer

5 votes

Final answer:

The simplest form of the ratio is option a) 25:14, since it cannot be simplified further, and option d) 50:28 which is equivalent to 25:14 when simplified.

Step-by-step explanation:

The question asks for the simplest form of the ratio of cherry to strawberry. First, we identify which options represent this ratio in the simplest form. Ratios can be simplified by dividing both terms by their greatest common divisor (GCD).

In options a) 25:14 and d) 50:28, we look for the GCD. For a) the GCD is 1 since 25 and 14 have no common divisors other than 1, so it is already in simplest form.

For d), the GCD of 50 and 28 is 2. Dividing both terms by 2 gives us 25:14, which matches option a) and is in simplest form as well.

Therefore, both a) and d) are actually the same ratio in simplest form. Options b) 5:2 and c) 9:4 are already in simplest form because their terms do not have common divisors other than 1.

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