SOLUTION:
PART A) Estimate
[tex]\begin{gathered} \frac{10}{12}+\frac{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}[/tex]
Part B) ACTUAL SOLUTION
[tex]\begin{gathered} \frac{10}{12}-\text{ }\frac{3}{8} \\ \text{LCM is 24} \\ \frac{10(2)\text{ - 3(3)}}{24} \\ \frac{20\text{ - }9}{24} \\ \frac{11}{24} \\ \text{Converting to decimal} \\ 0.45833 \end{gathered}[/tex]
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
