Question

2\frac{3}{5}·6\frac{2}{3}

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{3}{5} = \frac{2\times5 + 3}{5} = \frac{13}{5}$, $6\frac{2}{3} = \frac{6\times3 + 2}{3} = \frac{20}{3}$

Step2: Multiply the two improper fractions

$\frac{13}{5} \times \frac{20}{3} = \frac{13\times20}{5\times3}$

Step3: Simplify the expression

$\frac{13\times4}{1\times3} = \frac{52}{3}$

Step4: Convert back to mixed number (optional)

$\frac{52}{3} = 17\frac{1}{3}$

Answer:

$\frac{52}{3}$ or $17\frac{1}{3}$