Final answer:
Rina had 1 7/9 bags of roasted peanuts.
Step-by-step explanation:
To find the number of bags of roasted peanuts Rina had, we need to multiply the total number of bags by the fraction representing the proportion of roasted peanuts. Rina had 2 2/3 bags of peanuts, and 2/3 of those were roasted peanuts.
To calculate the number of bags of roasted peanuts, we multiply 2 2/3 by 2/3:
2 \frac{2}{3} \times \frac{2}{3} = \frac{8}{3} \times \frac{2}{3} = \frac{16}{9} = 1 \frac{7}{9}
Therefore, Rina had 1 \frac{7}{9} bags of roasted peanuts.