11. \( \frac{5}{8} \cdot \frac{3}{5} \cdot \frac{4}{5} \)
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Mind Expander
To tackle the multiplication of fractions like \( \frac{5}{8} \cdot \frac{3}{5} \cdot \frac{4}{5} \), just remember that you can multiply the numerators together and the denominators together. So, we have: Numerator: \( 5 \cdot 3 \cdot 4 = 60 \) Denominator: \( 8 \cdot 5 \cdot 5 = 200 \) Now, we combine these to get \( \frac{60}{200} \). Simplifying this fraction by dividing both the numerator and the denominator by 20 gives us \( \frac{3}{10} \). A quick tip: remember that when multiplying fractions, you can look for opportunities to simplify before multiplying. For instance, in this case, the \( 5 \) in the numerator of \( \frac{5}{8} \) and \( \frac{3}{5} \) cancels out, which helps to simplify the calculation, making it easier and faster! If you love to explore fractions further, there are plenty of fun worksheets and manipulatives that can help visualize how fractions work. Look for fraction circles or bars that allow you to see and compare different fractional parts in an engaging way — it's a great way to solidify your understanding while having some hands-on fun!