The easiest way is to just count how many times 6 goes into 43... which is 7 times and that is 42 so you have one left over which would be 1 over 6 so your answer is 7 and 1 over 6... Hope that helped(:
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43 over 6 as a mixed number = 71/6
69 over 15 as a mixed number = 43/5
43/7 = 61/7
43 is an integer and so there is no sensible way of representing it as a mixed number.
43 is an integer, not an improper fraction nor a mixed number.