To find 40 percent of 25, you can express this mathematically as:
\[ 0.40 \times 25 \]
This can also be rewritten as a fraction:
\[ \frac{40}{100} \times 25 \]
To find the correct equation among the provided options, let's analyze each one.
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\( \frac{25}{\frac{1}{40}} = \frac{25}{40} \)
- This is incorrect because it does not yield the correct value for 40% of 25.
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\( \frac{100 \times 4}{40 \times 4} = \frac{400}{160} \)
- This is also incorrect because it does not reflect the calculation for 40% of 25.
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\( \frac{40 \times 4}{25 \times 4} = \frac{160}{100} \)
- This simplifies to 1.6, which is actually 40% of 25. Thus, this option is valid as it correctly leads to the calculation of \( 0.40 \times 25 \).
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\( \frac{40}{4} \div \frac{100}{4} = \frac{10}{25} \)
- This doesn't correspond to finding 40% of 25 correctly; it leads to a ratio instead.
The best answer that correctly represents finding 40% of 25 is:
Option 3: \( \frac{40 \times 4}{25 \times 4} = \frac{160}{100} \)
This correctly simplifies and leads to the calculation for finding 40% of 25.