Question

A students work to solve 2 6/7 / 2/7 is shown below.

Answer 1

A) the only mistake is changing the mixed number to an improper fraction . 

Answer 2

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

$2\frac{6}{7}\div\frac{2}{7}$

Convert mixed fraction into improper fraction:

$2\frac{6}{7}\Rightarrow \frac{2\times 7+6}{7}=\frac{14+6}{7}=\frac{20}{7}$

$\frac{20}{7}\div\frac{2}{7}$

Convert division problem to multiplication problem by flipping the 2nd fraction:

$\frac{20}{7}\times\frac{7}{2}$

$\frac{20}{1}\times\frac{1}{2}$

$\frac{20}{2}$

$10$

Therefore, the student made two mistakes and option D is the correct choice.