Question

At RHS, 3/4 of the football field is covered in grass, and 8/9 of the grass is full of mud. How much is on the field?

A. 2/3
B. 1/3
C. 1/9
D. 5/36

Answer 1

To find the portion of the football field both covered in grass and full of mud, we multiply 3/4 (grass coverage) by 8/9 (mud coverage), resulting in 2/3 of the field.

Step-by-step explanation:

The student is asking about the portion of a football field that is covered with grass and then with mud at RHS. To answer this, we will calculate the percentage of the field that is both covered in grass and full of mud. Since 3/4 of the football field is covered in grass and 8/9 of that grass is full of mud, we multiply these two fractions to find the part of the football field that is both covered in grass and full of mud:

1. Calculate the area covered in grass: 3/4 of the field.
2. Calculate the mud-covered grass: 8/9 of the 3/4 of the field.
3. Perform the multiplication: (3/4) × (8/9) = (3 × 8) / (4 × 9) = 24/36 = 2/3 of the field.

Therefore, the answer is A. 2/3 of the field is covered in grass and full of mud.