1\\frac{2}{3}\\cdot1\\frac{6}{9}

1\\frac{2}{3}\\cdot1\\frac{6}{9}

1\\frac{2}{3}\\cdot1\\frac{6}{9}

Answer

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}$

Step2: Calculate the product

$\frac{5}{3}\times\frac{6}{9}=\frac{5\times6}{3\times9}=\frac{30}{27}$

Step3: Simplify the fraction

$\frac{30\div3}{27\div3}=\frac{10}{9}=1\frac{1}{9}$

Answer:

$1\frac{1}{9}$