This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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1) Step 1: To find the equivalent fraction, we need to determine what number the denominator 2 was multiplied by to get 8. Step 2: Multiply the numerator by the same number (4). So, the missing number is 4. \frac{1}{2} = \frac{4{8}}
2) Step 1: To find the equivalent fraction, we need to determine what number the denominator 2 was multiplied by to get 4. Step 2: Multiply the numerator by the same number (2). So, the missing number is 2. \frac{1}{2} = \frac{2{4}}
4) Step 1: To find the equivalent fraction, we need to determine what number the denominator 8 was divided by to get 2. Step 2: Divide the numerator by the same number (4). So, the missing number is 1. \frac{4}{8} = \frac{1{2}}
5) Step 1: To find the equivalent fraction, we need to determine what number the denominator 4 was multiplied by to get 8. Step 2: Multiply the numerator by the same number (2). So, the missing number is 4. \frac{2}{4} = \frac{4{8}}
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1) Step 1: To find the equivalent fraction, we need to determine what number the denominator 2 was multiplied by to get 8.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.