Question

Mack is repackaging 6/8- pound bags of birdseed into 1-pound bags of birdseed.What is the least number of 6/8 -pound bags of birdseed he needs in order to fill 1-pound bags without any leftovers?

Answer 1

Mack needs 4 bags. 4 x 6/8 = 24/8. Twenty-four eighths of a pound is equal to 3 pounds.

Answer 2

Mack is repackaging 6/8- pound bags of birdseed into 1-pound bags of birdseed.

We need to find the least number of 6/8 -pound bags of birdseed

Question says : he needs in order to fill 1-pound bags without any leftovers

so we find a least number such that
`(6)/(8) * x` is an integer

We use the factors of 6 and 8

We know 6 = 2*3 and 8 = 4* 2

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

Here 4 is in the denominator , to get integer value we multiply by 4

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

So answer is 4
`(6)/(8)` - pound bags

4 is the least number of 6/8 -pound bags of birdseed he needs in order to fill 1-pound bags without any leftovers