Final answer:
After simplifying each pair of ratios and comparing them, none of the given options (5 to 0.5, 8 to 6, 4 to 30, 24 to 232) simplify to equivalent fractions. There is likely a typo in the question provided.
Step-by-step explanation:
To determine which pair of ratios are equivalent, we must find the pair that simplifies to the same fraction or represents the same proportion when written in fractional form. Let's examine each pair:
- A) 5 to 0.5 is equivalent to 5/0.5 = 10, this is not a ratio reduced to its simplest form.
- B) 8 to 6, written as a fraction, is 8/6 or 4/3 when reduced to simplest terms.
- C) 4 to 30 written as 4/30 can be simplified to 2/15.
- D) 24 to 232, as a fraction, is 24/232 which reduces to 1/48 when divided by the greatest common divisor.
To check for equivalence, we can simplify these fractions and see if any match. Pair A simplifies to 10, pair B simplifies to approximately 1.33, pair C simplifies to approximately 0.13, and pair D simplifies to approximately 0.021. None of these simplified ratios are equivalent to another. However, if there is a typo, and pair D was meant to be 24 to 32, that would simplify to 3/4, which would make it equivalent to pair B, since 8/6 also simplifies to 3/4. But with the options provided, none are equivalent.