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Step-by-step explanation:
To find the secret multiplication from \( \frac{1}{2} \) to \( \frac{1}{7} \), we need to calculate the product of these fractions. Let's proceed step by step:
1. Multiply the fractions together:
\[
\frac{1}{2} \times \frac{1}{3} \times \frac{1}{4} \times \frac{1}{5} \times \frac{1}{6} \times \frac{1}{7}
\]
2. Combine the fractions into a single fraction by multiplying numerator and denominator:
\[
\frac{1}{2 \times 3 \times 4 \times 5 \times 6 \times 7}
\]
3. Calculate the denominator:
\[
2 \times 3 = 6
\]
\[
6 \times 4 = 24
\]
\[
24 \times 5 = 120
\]
\[
120 \times 6 = 720
\]
\[
720 \times 7 = 5040
\]
Therefore, the denominator is \( 5040 \).
4. Calculate the numerator, which is simply \( 1 \):
5. Combine them to get the final fraction:
\[
\frac{1}{5040}
\]
So, the secret multiplication from \( \frac{1}{2} \) to \( \frac{1}{7} \) is \( \frac{1}{5040} \).