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A diamond merchant received a shipment of 58\frac{5}{8} of a pound of diamonds. She divided the diamonds into 55 equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ pounds

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Q. A diamond merchant received a shipment of 58\frac{5}{8} of a pound of diamonds. She divided the diamonds into 55 equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ pounds
  1. Calculate total weight: Step 11: Understand the total weight of diamonds received and how many lots they are divided into.\newlineThe merchant received 58\frac{5}{8} pounds of diamonds and divided them into 55 equal lots.\newlineTo find the weight of each lot, we need to divide the total weight by the number of lots.\newlineCalculation: (58)÷5\left(\frac{5}{8}\right) \div 5
  2. Find weight per lot: Step 22: Perform the division to find the weight of each lot.\newlineDividing a fraction by a whole number involves multiplying by the reciprocal of the divisor.\newlineCalculation: (5/8)×(1/5)=5/40=1/8(5/8) \times (1/5) = 5/40 = 1/8