Estimate 10/12 - 3/8 using benchmark values. Your equation must show the estimate for each fraction and for the solution.
To estimate the value of the fraction 10/12, we can use the benchmark value of 1/2, which is equal to 6/12. Comparing 10/12 to 6/12, we can see that 10/12 is slightly larger.
To estimate the value of the fraction 3/8, we can use the benchmark value of 1/2 again. This time, we can see that 3/8 is smaller than 1/2.
Therefore, our estimation equation would be:
10/12 ≈ 1/2
3/8 ≈ 0
Now, let's subtract the estimated values:
1/2 - 0 = 1/2
So, the estimated solution for 10/12 - 3/8 is 1/2.
thats dead wrong
Apologies for the incorrect estimation. Let's try again using benchmark values.
To estimate the value of 10/12, we can round it to the nearest benchmark value. The benchmark value that is closest to 10/12 is 1/1 or 12/12. So, we can estimate 10/12 as 12/12 since it is slightly smaller.
To estimate the value of 3/8, we can round it to the nearest benchmark value. The benchmark value that is closest to 3/8 is 1/2 or 4/8. So, we can estimate 3/8 as 4/8 since it is slightly smaller.
Now, let's subtract the estimated values:
12/12 - 4/8
To perform this subtraction, we need to find a common denominator. The least common multiple of 12 and 8 is 24.
12/12 can be rewritten as 24/24 since 12 multiplied by 2 is equal to 24.
4/8 can be rewritten as 6/24 since 4 multiplied by 6 is equal to 24.
Now we can subtract:
24/24 - 6/24 = 18/24
So, the estimated value of 10/12 - 3/8 using benchmark values is 18/24.