2/3 X 2/5

Which scenarios match the expression above?
A.Giselle has 2/3 of a bag of cat food. She pours 2/5 of it into the cat feeder. How much of a full bag did she pour into the cat feeder?

B.Felicia and her friend ordered a 2/3 pound hamburger to share. She ate 2/5 of it. How much of a pound of hamburger did she eat?
C.Cynthia jogged 2/3 of a mile. Then, she walked another 2/5 of a mile. How many miles did she
travel?
D. Henrietta's school is 2/3 of a mile from her house. If she has walked 2/5 of a mile, how much of the way has she walked?
F. Wanda is painting 2(3 of her house. If sho has already painted 2/5 of it, how much of her house
does she have left to paint?

1 answer

Let's analyze each scenario to see if it matches the expression \( \frac{2}{3} \times \frac{2}{5} \).

A. Giselle has 2/3 of a bag of cat food. She pours 2/5 of it into the cat feeder. How much of a full bag did she pour into the cat feeder?

  • This scenario matches the expression because it involves finding 2/5 of the 2/3 bag of cat food, which is \( \frac{2}{3} \times \frac{2}{5} \).

B. Felicia and her friend ordered a 2/3 pound hamburger to share. She ate 2/5 of it. How much of a pound of hamburger did she eat?

  • This scenario also matches the expression since it involves finding 2/5 of the 2/3 pound of hamburger, so it is \( \frac{2}{3} \times \frac{2}{5} \).

C. Cynthia jogged 2/3 of a mile. Then, she walked another 2/5 of a mile. How many miles did she travel?

  • This scenario does not match because it involves adding the distances, not multiplying them.

D. Henrietta's school is 2/3 of a mile from her house. If she has walked 2/5 of a mile, how much of the way has she walked?

  • This scenario does not match because it also involves finding out how far she has walked relative to the total distance, not multiplying fractions.

F. Wanda is painting 2/3 of her house. If she has already painted 2/5 of it, how much of her house does she have left to paint?

  • This scenario does not match the expression either because it involves subtracting the amount she has painted from the total she intends to paint, which doesn't correspond to multiplying the two fractions.

So, the scenarios that match the expression \( \frac{2}{3} \times \frac{2}{5} \) are A and B.