Question

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

Which of the following statements do you agree with.

2 6/7 / 2/7 =
19/7 / 2/7 =
7/19 x 2/7 =
1/19 x 2/1 = 2/19

A. The only mistake is changing the mixed number to an improper fraction.
B. There's a mistake with the multiplicative inverse 2/7 .
C. The problem looks correct.
D. There's a problem with changing the mixed number to an improper fraction, as well as changing the division problem to multiplication.

Answer 1

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

Answer 2

D. There's a problem with changing the mixed number to an improper fraction, as well as changing the division problem to multiplication.

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(6)/(7)/(2)/(7)`

Convert mixed fraction into improper fraction:

`2(6)/(7)\Rightarrow (2* 7+6)/(7)=(14+6)/(7)=(20)/(7)`

`(20)/(7)/(2)/(7)`

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

`(20)/(7)*(7)/(2)`

`(20)/(1)*(1)/(2)`

`(20)/(2)`

`10`

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