Answer:
The estimated values of given fraction are 1/2, 1/4 and 1/2 for benchmark values 1/2, 1/4 and 1/8 respectively.
Step-by-step explanation:
The given expression is
[tex]\frac{10}{12}-\frac{3}{8}[/tex]
Case 1: Let the benchmark value be 1/2.
10/12 > 3/4 so we round it to 1.
1/4 ≤ 3/8 ≤ 3/4 so we round it to 1/2.
Estimating the solution:
1 - 1/2 = 1/2
Case 2: Let the benchmark value be 1/4.
5/8 ≤ 10/12 < 7/8 so we round it to 3/4.
3/8 ≤ 3/8 < 5/8 so we round it to 2/4.
Estimating the solution:
3/4 - 2/4 = 1/4
Case 3: Let the benchmark value be 1/8.
13/16 ≤ 10/12 < 15/16 so we round it to 7/8.
5/16 ≤ 3/8 < 7/16 so we round it to 3/8.
Estimating the solution:
7/8 - 3/8 = 1/2
Therefore the estimated values of given fraction are 1/2, 1/4 and 1/2 for benchmark values 1/2, 1/4 and 1/8 respectively.
