Question

e if the fraction of lights that are on is equivalent to \\(\frac{1}{4}\\).

Explanation:

Step1: Analyze the bottom box

Count total bulbs: \(4\times4 = 16\). Count on bulbs: \(4\). Fraction: \(\frac{4}{16}=\frac{1}{4}\).

Step2: Analyze left "Yes" box 1

Total bulbs: \(8\) (6 off + 2 on). Fraction: \(\frac{2}{8}=\frac{1}{4}\).

Step3: Analyze left "Yes" box 2

Total bulbs: \(12\) (9 off + 3 on). Fraction: \(\frac{3}{12}=\frac{1}{4}\).

Step4: Analyze right "No" box

Total bulbs: \(10\) (8 off + 2 on). Fraction: \(\frac{2}{10}=\frac{1}{5}
eq\frac{1}{4}\).
So the bottom box and the two "Yes" boxes have fraction \(\frac{1}{4}\). We need to move the bottom box to "Yes".

Answer:

Move the bottom - box (with 4 on bulbs and 12 off bulbs, total 16 bulbs) to the "Yes" section.