Answer: k = 67 4/5
Explanation:
101 3/5 =k+33 4/5
first isolate your variable by subtracting 33 4/5 from both sides
101 3/5 - 33 4/5 = k
now subtract
to subtract 4/5 from 3/5, you have to borrow 5/5 or 1 whole from 101 and add it to 3/5. 5/5 + 3/5 = 8/5. 101 - 1 = 100.
so now you have
100 8/5 - 33 4/5 = k
100 - 33 = 67
8/5 - 4/5 = 4/5
your answer is 67 4/5
Check your work.
67 4/5 + 33 4/5 = 100 8/5 simplified to 101 3/5, our starting number.
solution is true so problem solved!