Multiple choice general knowledge math & puzzles

What percent of 5/8 is 8/5?

  1. 100

  2. 256

  3. 64

  4. 1024
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find what percent of 5/8 is 8/5, calculate (8/5) ÷ (5/8) × 100 = (8/5) × (8/5) × 100 = 64/25 × 100 = 256%. Option A (100) would mean the fractions are equal, option C (64) is the product without multiplying by 100, and option D (1024) is incorrectly squared.

AI explanation

To find what percent of one quantity is another quantity, we can use the formula:

[ \text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 ]

In this case, we want to find what percent of (\frac{5}{8}) is (\frac{8}{5}).

First, we need to find the part and the whole. The part is (\frac{8}{5}) and the whole is (\frac{5}{8}).

Plugging these values into the formula, we get:

[ \text{Percent} = \left( \frac{\frac{8}{5}}{\frac{5}{8}} \right) \times 100 ]

Simplifying the expression inside the parentheses, we have:

[ \left( \frac{8}{5} \times \frac{8}{5} \right) \times 100 ]

Multiplying the fractions, we get:

[ \left( \frac{64}{25} \right) \times 100 ]

Dividing 64 by 25 and multiplying by 100, we find that the percent is:

[ \text{Percent} = \frac{64}{25} \times 100 = 256 ]

Therefore, the correct answer is B) 256.

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