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 $\frac{6}{8} * x$ is an integer

We use the factors of 6  and 8

We know 6 = 2*3  and 8 = 4* 2

$\frac{2*3}{2*4}$ = $\frac{3}{4}$

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

$\frac{3}{4} * 4$ = 3

So answer is 4  $\frac{6}{8}$ - 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