Add and subtract fractions and mixed numbers with appropriate common denominators.
Check mixed-number regrouping
Problem
A student solved \(2~1/3~-~1~5/6\) as follows: \(2~1/3~=~2~2/6\), then \(2~2/6~-~1~5/6~=~1~3/6\). Classify the work and give the correct simplified result.
Big Picture
What this problem is really about
We’ll inspect the student’s work one move at a time rather than judging only the final line. After confirming the conversion to sixths, we’ll compare the two fractional parts, regroup one whole as six sixths if needed, and then subtract in the correct order. Simplifying and adding back will verify both the classification and correction.
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