Question

find $2\frac{1}{3} + 1\frac{1}{2}$. divide the models to find a common denominat

Explanation:

Step1: Convert mixed numbers to improper fractions

\(2\frac{1}{3}=\frac{2\times3 + 1}{3}=\frac{7}{3}\)
\(1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}\)

Step2: Find a common denominator (6) and rewrite fractions

\(\frac{7}{3}=\frac{7\times2}{3\times2}=\frac{14}{6}\)
\(\frac{3}{2}=\frac{3\times3}{2\times3}=\frac{9}{6}\)

Step3: Add the fractions

\(\frac{14}{6}+\frac{9}{6}=\frac{14 + 9}{6}=\frac{23}{6}\)

Step4: Convert back to a mixed number (optional, but common)

\(\frac{23}{6}=3\frac{5}{6}\)

Answer:

\(3\frac{5}{6}\)