17. Which of the following percentages is equivalent to the fraction 5/8?

Answer: C

Explanation:

62.50% is equivalent to the fraction 5/8.

To convert the fraction 5/8 into a percentage, you multiply it by 100. This results in 62.50%, confirming that this option is correctly equivalent to the given fraction.

A) 160%

Option A is incorrect because 160% represents a value greater than 1, which does not correspond to the fraction 5/8. When converted from 5/8, the result is much lower than this percentage.

B) 65.25%

Option B is also incorrect as 65.25% does not match the conversion of 5/8. When calculated, 5/8 yields a precise value of 62.50%, making 65.25% an inaccurate representation.

C) 62.50%

This option is correct because, when you convert the fraction 5/8 by multiplying it by 100, you arrive at 62.50%. This directly matches the result expected from the fraction, confirming its accuracy.

D) 1.60%

Option D is incorrect since 1.60% is significantly lower than the value of 5/8. This percentage does not reflect the actual fraction when converted, thus failing to be equivalent.

Conclusion

The option C, 62.50%, is definitively the correct answer as it accurately represents the fraction 5/8 when converted to a percentage. All other options either misrepresent the fraction's value or significantly diverge from the correct percentage calculation. Thus, C is the only valid answer.