Multiply 2/3 by 1 2/9 .(1 point) Responses 1 22/27 1 Start Fraction 2/2 over 2/7 End Fraction 22/27 Start Fraction 2/2 over 2/7 End Fraction 13/12 Start Fraction 1/3 over 1/2 End Fraction 1 2/3

Answer 1

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

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

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, the product is \(\frac{22}{27}\).

The correct response is \(\frac{22}{27}\).