2/9 ° 1 1/16

To multiply the fractions \( \frac{2}{9} \) and \( 1 \frac{1}{16} \), we first need to convert \( 1 \frac{1}{16} \) into an improper fraction.

1. Convert \( 1 \frac{1}{16} \):

   • \( 1 \times 16 + 1 = 16 + 1 = 17 \)
   • So, \( 1 \frac{1}{16} = \frac{17}{16} \).

2. Now, we can multiply the two fractions: \[ \frac{2}{9} \times \frac{17}{16} = \frac{2 \times 17}{9 \times 16} = \frac{34}{144} \]

3. Now, we can simplify \( \frac{34}{144} \):

   • The greatest common divisor (GCD) of 34 and 144 is 2.
   • Therefore, divide both the numerator and the denominator by 2: \[ \frac{34 \div 2}{144 \div 2} = \frac{17}{72} \]

The final result is: \[ \frac{17}{72} \]