Final answer:
To find out how much of the pan of brownies was eaten by Yara and her sister, we multiply 3/4 by 2/3, resulting in 6/12 which simplifies to 1/2, indicating they ate half of the pan.
Step-by-step explanation:
The question pertains to fraction multiplication. To determine how much of the entire pan of brownies Yara and her sister ate, we must multiply the fraction of the pan that was left (3/4) by the fraction they ate (2/3). To do this, multiply the numerators (top numbers) together and the denominators (bottom numbers) together, giving us:
3/4 of the pan is left × 2/3 of that is eaten = (3×2)/(4×3) = 6/12
After simplifying 6/12, we get 1/2. This means Yara and her sister ate half of the entire pan of brownies.