Problem

Perform the multiplication.
\[
\frac{0.414}{0.23} \times \frac{100}{100}=\frac{41.4}{\square}
\]

Answer

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Answer

Final Answer: The unknown number in the fraction is \(\boxed{23}\)

Steps

Step 1 :Given the multiplication of two fractions: \(\frac{0.414}{0.23} \times \frac{100}{100} = \frac{41.4}{\square}\)

Step 2 :The second fraction is essentially 1, so the result of the multiplication is the same as the first fraction.

Step 3 :Set up an equation where the first fraction is equal to 41.4 divided by the unknown number.

Step 4 :Solving this equation will give us the unknown number.

Step 5 :Perform the calculation: \(\frac{0.414}{0.23} = \frac{41.4}{\square}\)

Step 6 :Solving for \(\square\), we get \(\square = 23\)

Step 7 :Final Answer: The unknown number in the fraction is \(\boxed{23}\)

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