Estimate 10/12−3/8 using benchmark values. Your equation must show the estimate for each fraction and the final estimate for the expression.
To estimate 10/12−3/8 using benchmark values, we can round the given fractions to the nearest benchmark fractions.
Benchmark fractions that we can use are:
1/4 = 3/12
1/2 = 6/12
3/4 = 9/12
First, let's estimate 10/12:
The nearest benchmark fraction is 9/12, so we can round 10/12 to 9/12.
Next, let's estimate 3/8:
The nearest benchmark fractions are 3/8 and 3/12, but since 3/8 is already given, we don't need to round it further.
Now, let's perform the estimation by subtracting the rounded values:
9/12 − 3/8
Since both fractions now have a common denominator of 24, we can rewrite them as:
(9/12) * (2/2) − (3/8) * (3/3)
= 18/24 − 9/24
Finally, subtract the numerators and keep the denominator the same:
(18 − 9)/24
= 9/24
Therefore, the estimated value of 10/12 − 3/8 is 9/24.