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A diamond merchant recelved a shipment of \( 3 / 4 \) of a pound of diamonds. He divided the diamonss into 3 equal lots and sold them to jewelers for making rings and necklaces. What was the weight of dee diamonds in each lot? White your answer as a fraction or as a whole or mixed number.

Ask by Martinez Salazar. in the United States
Jan 23,2025

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Each lot contains \( \frac{1}{4} \) pound of diamonds.

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To find the weight of the diamonds in each lot, we can divide the total weight of diamonds \( \frac{3}{4} \) pound by the 3 lots. So, the weight of diamonds in each lot is: \[ \frac{3}{4} \div 3 = \frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12} = \frac{1}{4} \text{ pounds.} \] Therefore, the weight of diamonds in each lot is \( \frac{1}{4} \) pound. Now, let’s sprinkle in some fun facts! Did you know that diamonds are formed deep within the Earth's mantle under high-pressure and high-temperature conditions? They are brought to the surface through volcanic eruptions, making their journey as fascinating as their brilliance! When it comes to diamonds, they're not just for bling! Aside from being used in jewelry, diamonds have industrial applications too! Their hardness makes them perfect for cutting, grinding, and drilling tasks in various industries, proving that true beauty can have a practical side.

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