Add and subtract fractions and mixed numbers with appropriate common denominators.
Add mixed numbers
Problem
Calculate \(2~1/4~+~1~3/4\) and give the result as a simplified mixed number or whole number.
Big Picture
What this problem is really about
Mixed-number addition is easier when whole and fractional parts are organized separately. We’ll add the whole numbers, combine the fourths, and check whether the fractional sum makes another whole. If it does, regroup that complete set of fourths into the whole-number total instead of leaving an improper fractional part.
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