Answer:
D. There's a problem with changing the mixed number to an improper fraction, as well as changing the division problem to multiplication.
Step-by-step explanation:
We have shown work of a student to solve a division of fractions. We are asked to check student's work.
Let us check
[tex]2\frac{6}{7}\div\frac{2}{7}[/tex]
Convert mixed fraction into improper fraction:
[tex]2\frac{6}{7}\Rightarrow \frac{2\times 7+6}{7}=\frac{14+6}{7}=\frac{20}{7}[/tex]
[tex]\frac{20}{7}\div\frac{2}{7}[/tex]
Convert division problem to multiplication problem by flipping the 2nd fraction:
[tex]\frac{20}{7}\times\frac{7}{2}[/tex]
[tex]\frac{20}{1}\times\frac{1}{2}[/tex]
[tex]\frac{20}{2}[/tex]
[tex]10[/tex]
Therefore, the student made two mistakes and option D is the correct choice.
