Multiply 2/3

Question

by 1 and 2/9
.(1 point)

Answer 1

To multiply \( \frac{2}{3} \) by \( 1 \frac{2}{9} \), we first need to convert the mixed number \( 1 \frac{2}{9} \) into an improper fraction.

1. Convert \( 1 \frac{2}{9} \) to an improper fraction: \[ 1 \frac{2}{9} = \frac{9 \times 1 + 2}{9} = \frac{9 + 2}{9} = \frac{11}{9} \]

2. Now multiply \( \frac{2}{3} \) by \( \frac{11}{9} \): \[ \frac{2}{3} \times \frac{11}{9} = \frac{2 \times 11}{3 \times 9} = \frac{22}{27} \]

So, \( \frac{2}{3} \times 1 \frac{2}{9} = \frac{22}{27} \).