It say estimate each problem to check if the students answer is reasonable. If not , Cross out the answer and write the correct answer. Show Your Work

2) [tex]-3\frac{1}{6} + 6\frac{2}{3}[/tex] : given answer [tex]-3\frac{1}{2}[/tex] is incorrect
Step by step explanation:
Step 1:
Split the question as,
[tex]-3 - \frac{1}{6} + 6 + \frac{2}{3}[/tex]
Step 2:
Add whole number and fractions individually, it becomes
[tex]6 - 3 + \frac{2}{3} - \frac{1}{6}[/tex]
= [tex]3 + \frac{12}{18} - \frac{3}{18}[/tex]
=[tex]3+\frac{1}{2}[/tex]
can be written as [tex]3\frac{1}{2}[/tex] (correct answer)
3) -4.2 - (-2.9) : given answer - 1.3 is correct
calculated as
- 4.2 + 2.9 = - 1.3
4) [tex]3\frac{1}{5} - 2\frac{1}{2} + 2\frac{3}{5}[/tex] : given answer [tex]-3\frac{1}{3}[/tex] is incorrect
Step by step explanation:
Step 1:
Split the question as,
[tex]3 + \frac{1}{5} - 2 - \frac{1}{2} + 2 +\frac{3}{5} \\[/tex]
Step 2:
Add whole number and fractions individually, it becomes
[tex]3 + \frac{3}{5} +\frac{1}{5}- \frac{1}{2}[/tex]
= [tex]3 + \frac{4}{5} - \frac{1}{2}[/tex]
= [tex]3 + \frac{8}{10} - \frac{5}{10}[/tex]
= [tex]3 + \frac{3}{10}[/tex]
can be written as [tex]3\frac{3}{10}[/tex] (correct answer)