Question

2 4/3 divided by 6 7/8

Answer 1

`(16)/(33)`

Explanation:

When you're having trouble dividing, use the "keep, change, flip" method. First reduced the fractions:

2 4/3 --> 10/3

6 7/8 --> 55/8

The problem should not be:
`(10)/(3)` ÷
`(55)/(8)`

For "keep, change, flip", keep
`(10)/(3)` as normal, change the division symbol into a multiplication symbol (it's opposite), and flip
`(55)/(8)` to make
`(8)/(55)`

The problem should now be:
`(10)/(3)` ×
`(8)/(55)`

Now multiple to get:
`(80)/(165)`

And reduce to get:
`(16)/(33)`

Answer 2

16/33

Explanation:

2 4/3 --> 10/3

6 7/8 --> 55/8

10/3 / 55/8

10/3 x 8/55

80/165 --> divide by 5

16/33