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

ANSWER

$\text{The final estimate for the expression is }\frac{11}{24}$

STEP-BY-STEP EXPLANATION

Given information

$\text{Estimate }\frac{10}{12}\text{ - }\frac{3}{8}$

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

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