Question

Please explain how you got the answer and please put, Example: Part A, then write the answer and the same for part b and c

Answer 1

PART A) Estimate

`\begin{gathered} (10)/(12)+(3)/(8) \\ \text{Converting to decimal fractions} \\ 0.833\text{ - 0.375} \\ \text{Estimating} \\ (0.833\pm0.0005)\text{ -(0.375}\pm0.0005) \\ \text{upper boundary} \\ (0.833+0.0005)\text{ -(0.375+}0.0005) \\ (0.8335)\text{ -(0.375}5) \\ =0.458 \\ \\ \text{lower boundary} \\ (0.833-0.0005)\text{ -(0.375-}0.0005) \\ 0.8325\text{ - 0.3745} \\ =0.458 \end{gathered}`

Part B) ACTUAL SOLUTION

`\begin{gathered} (10)/(12)-\text{ }(3)/(8) \\ \text{LCM is 24} \\ \frac{10(2)\text{ - 3(3)}}{24} \\ \frac{20\text{ - }9}{24} \\ (11)/(24) \\ \text{Converting to decimal} \\ 0.45833 \end{gathered}`

Part C) Difference between actual and estimate

0.45833 - 0.458

The difference is 0.00033.

The difference between the actual and estimate is quite small and unreasonable