Question

Part AEstimate 10/12 - 3/8 using benchmark values. Your equation must show the estimate for each fraction and the final estimate for the expression.Part B Solve 10/12 - 3/8. Show your solution as an equation.Part CCalculate the difference between your estimate in Part A and the actual value you calculated in Part B. Be sure to show this solution as an equation. Based on this difference, do you think your estimate for Part A was reasonable? Explain.

Answer 1

`\text{The final estimate for the expression is }(11)/(24)`

Explanation

Given information

`\text{Estimate }(10)/(12)\text{ - }(3)/(8)`

To estimate the above expression, we need to find the factors of the denominators to get the LCM

Factors of 12 = 2 x 2 x 3

Factors of 8 = 2 x 2 x 2

From the above factors, the LCM is 2 x 2 x 2 x 3 = 24

Therefore, LCM is 24

`\begin{gathered} \frac{(10)/(12)\text{ - }(3)/(8)}{24} \\ \\ =\text{ }\frac{\text{ 24(}(10)/(12))\text{ - 24(}(3)/(8))}{24} \\ \\ =\text{ }\frac{2(10)\text{ - 3(3)}}{24} \\ =\frac{20\text{ - 9}}{24} \\ =\text{ }(11)/(24) \end{gathered}`