About eleven-twelveths of a state park is covered by trees, one-eighteenth is covered by a lake, and the rest is covered by open fields. What part of the state park is open fields?
11/12 = 33/36
1/18 = 2/36
(36/36) - (33/36) - (2/36) = ?
12 = 2*2*3
18 = 2*3*3
lowest common multiple = 2*2*3*3 = 4*9 = 36
11/12 = 33/36
1/18 = 2/36
so 35/36 is used
and
1/36 remains open fields
To find the part of the state park covered by open fields, we need to subtract the parts covered by trees and the lake from the whole.
1. Start with the whole: The entire state park is represented by 1.
2. Subtract the part covered by trees: Since eleven-twelfths of the state park is covered by trees, we can subtract this fraction from the whole. In decimal form, this is 11/12 ≈ 0.9167.
1 - 0.9167 = 0.0833
3. Subtract the part covered by the lake: We are given that one-eighteenth of the state park is covered by a lake. In decimal form, this is 1/18 ≈ 0.0556.
0.0833 - 0.0556 = 0.0277
Therefore, approximately 0.0277 (or 2.77%) of the state park is covered by open fields.