Multiply 2/3

Question

by 1(2/9)
.(1 point)
Responses

22/27
Start Fraction 22 over 27 End Fraction

13/12
Start Fraction 13 over 12 End Fraction

1(22/27)
1 Start Fraction 22 over 27 End Fraction

1(2/3)

Answer 1

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

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

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

So, the final answer is: \[ \frac{22}{27} \]

Correct Response: \(\frac{22}{27}\)