Question

This table shows the relationship of the total number of pieces of fruit to the number of bananas.

Why is StartFraction 6 Over 5 EndFraction not equivalent to Three-halves?

Answer 1

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is
`(6)/(5)` not equivalent to
`(3)/(2)`.

Solution:

If a, b, c are real numbers, then

`(a)/(b)=(a* c)/(b* c)`

The given fraction is
`(3)/(2)`. It can be written as:

`(3* 2)/(2* 2)=(6)/(4)`

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be
`(6)/(4)`, not
`(6)/(5)`.

Therefore, the correct option is A.