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: \[ \frac{17}{72} \]