Evaluate the expression. Express your answer to the nearest whole number. \( \frac{16}{4} \times \frac{100}{88} \times \frac{1,600}{250} \times \frac{10}{50}= \) Enter a number as an exact integer or decimal. eBook
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To evaluate the expression \( \frac{16}{4} \times \frac{100}{88} \times \frac{1,600}{250} \times \frac{10}{50} \), we simplify each fraction: 1. \( \frac{16}{4} = 4 \) 2. \( \frac{100}{88} \) simplifies to \( \frac{25}{22} \) (dividing numerator and denominator by 4) 3. \( \frac{1,600}{250} \) simplifies to \( 6.4 \) (by dividing both by 250) 4. \( \frac{10}{50} = 0.2 \) Now, multiplying them together: \( 4 \times \frac{25}{22} \times 6.4 \times 0.2 \) Calculating step-by-step: 1. \( 4 \times \frac{25}{22} = \frac{100}{22} \approx 4.545 \) 2. Multiplying by \( 6.4 \): \( 4.545 \times 6.4 \approx 29.091 \) 3. Finally, multiplying by \( 0.2 \): \( 29.091 \times 0.2 \approx 5.818 \) Rounding to the nearest whole number, the final answer is \( \boxed{6} \).
