(c) \( \frac{2}{8} \times \frac{1}{4} \times 2 \frac{1}{7} \)
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Extra Insights
Let's break it down! First, convert the mixed number \(2 \frac{1}{7}\) into an improper fraction. This gives you \(\frac{15}{7}\). Now, you can multiply all the fractions together: \[ \frac{2}{8} \times \frac{1}{4} \times \frac{15}{7} = \frac{2 \times 1 \times 15}{8 \times 4 \times 7} = \frac{30}{224} \] Next, simplify \(\frac{30}{224}\) by dividing both the numerator and denominator by their greatest common divisor, which is 2. This results in \(\frac{15}{112}\). Now, for a little fun fact, the process of multiplying fractions is like being a chef in a kitchen. Each fraction is an ingredient, and when you combine them, you create a new dish (or a new fraction)! Just make sure you keep your measuring cups (or numerators and denominators) in line, and voila, you’ve cooked up a simplified fraction! Lastly, remember that reducing fractions can be like decluttering a room – always check for common factors to make it neat and tidy. It's easy to overlook a GCD hiding in plain sight! Happy fraction cooking!
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