\(\tfrac{17}{2}+3\tfrac{1}{2}=\) _____.
\(\tfrac{17}{2}+3\tfrac{1}{2}=\) 12.
Step 1: Change the mixed number to a fraction.
\(3\tfrac{1}{2} = \dfrac{(3\times 2)+1}{2}\)
\(= \dfrac{6+1}{2}\)
\(= \dfrac{7}{2}\)
Step 2: Add the fractions (same denominator).
\(\dfrac{17}{2} + \dfrac{7}{2} = \dfrac{17+7}{2}\)
\(= \dfrac{24}{2}\)
Step 3: Divide to get a whole number.
\(\dfrac{24}{2} = 12\)
Therefore, \(\tfrac{17}{2}+3\tfrac{1}{2}=12\).