Find a fraction (with a whole number numerator and denominator) that is greater than 1/2020, less than 1/2019 and with the smallest possible denominator
Answer: 2/4039 is the fraction with smallest denominator. Notice that a/b must lie between 1/2019 and 1/2020, which means that b should lie between 2019a and 2020a. b is lowest when a is lowest. a can't be 1, so the answer surfaces for a=2
Attendance Kabir, Aarkin, Vansh, Vivaan, Advay
Class puzzles
The kids assembled a lamp from wooden laser cut templates. These were provided by Dr Manish Jain from IIT Gandhinagar. He has also invited kids to his lab at IITGN. This lamp represents a truncated icosahedron, made from 12 pentagonal and 20 hexagonal pieces. The method of assembly requires no glue.
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