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Can someone explain to me the reasoning involved in each step when simplifying the fraction 42/56. I had this question wrong in my previous exam...I don't know what i was thinking when answering it......but i like to know what was the actual responce for it....thanks ...:-)

I don't know all of the "technical steps" one goes through. I divide first by 2 to obtain
21/28. Mentally, then, I go through 2, 3, 4, 5, 6 and none of those will go into both 21 and 28. Then I try 7 and that works to give 3/4. That tells me that 2*7=14 would have been the largest divisor but I already have my answer with 3/4 and the factor of 14 is just an interesting tidbid of information. Of course, IF your exam question was to divide by the largest divisor to simplify, then I would have used 2 and 7 anyway, but put on paper 14. I hope this helps.

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  1. 212 in base 3 and divide 3

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