Final answer:
The shopkeeper was able to make 6 packets of anchovies by dividing the total amount bought (11/12 kg) by the amount per packet (2/15 kg).
Step-by-step explanation:
The student asked how many packets of anchovies the shopkeeper got if he bought 11/12 kg and packed them into packets containing 2/15 kg each. To find the number of packets, we divide the total amount of anchovies by the amount per packet.
Number of packets = Total kg of anchovies ÷ kg of anchovies per packet
Number of packets = (11/12) ÷ (2/15)
To divide fractions, we multiply by the reciprocal of the divisor:
Number of packets = (11/12) × (15/2)
Now, cancel out any common factors and multiply:
11 × 15 = 165 and 12 × 2 = 24
Number of packets = 165 ÷ 24
When 165 is divided by 24, it results in 6.875, which we round down to 6 because you can't have a fraction of a packet.
Therefore, the shopkeeper made 6 packets of anchovies.