Question

1. $5\frac{1}{3} - 3\frac{1}{6}$

Explanation:

Step1: Convert mixed numbers to improper fractions

\(5\frac{1}{3}=\frac{5\times3 + 1}{3}=\frac{16}{3}\)，\(3\frac{1}{6}=\frac{3\times6+1}{6}=\frac{19}{6}\)

Step2: Find a common denominator and subtract

The common denominator of 3 and 6 is 6. So \(\frac{16}{3}=\frac{16\times2}{3\times2}=\frac{32}{6}\)
Then \(\frac{32}{6}-\frac{19}{6}=\frac{32 - 19}{6}=\frac{13}{6}\)

Step3: Convert back to mixed number (optional)

\(\frac{13}{6}=2\frac{1}{6}\)

Answer:

\(2\frac{1}{6}\) (or \(\frac{13}{6}\))