Question

No using decimals pleaseWhen you answer the question please do this, Example: Part A then answer the question same for part b and c

Answer 1

(a)1/2

(b)11/24

Explanation:

Given the difference:

`(10)/(12)-(3)/(8)`

Part A

First, we estimate the difference using benchmark values.

`\begin{gathered} (10)/(12)\text{ is closer to }(12)/(12)=1 \\ (3)/(8)\text{ is closer to }(4)/(8)=(1)/(2) \\ \text{Therefore:} \\ (10)/(12)-(3)/(8)\approx1-(1)/(2)=(1)/(2) \end{gathered}`

Part B

Here, we find the actual difference.

`\begin{gathered} (10)/(12)-(3)/(8) \\ T\text{ake the lowest co}mmon\text{ multiple of the denominators} \\ =(20-9)/(24) \\ =(11)/(24) \end{gathered}`

Part C

Here, the difference between the estimate and the actual value is calculated.

`\begin{gathered} \text{Estimated Value-Actual Value} \\ =(1)/(2)-(11)/(24) \\ =(12)/(24)-(11)/(24) \\ =(12-11)/(24) \\ =(1)/(24) \end{gathered}`

A reasonable estimate does not exceed the original numbers in the problem. Thus, the estimate for part A was reasonable.