Carl has three lengths of cable,5/6 yard long,1/4 yard long,and 2/3 yard long.He needs at least 1 yard of cable.which two pieces together make a length at least

1 yard and closest to 1 yard?

just add them in pairs and see which comes closest to 1 without going under.

Remember 5/6 is almost 1 , so that should give you a hint

wait so what two numbers?

To find the two lengths of cable that, when combined, make a length at least 1 yard and closest to 1 yard, we need to add the lengths of each pair of cables and see which pair gives us a sum that is closest to 1 yard.

First, let's add the lengths of all possible pairs of cables:
1. The sum of 5/6 yard and 1/4 yard: (5/6) + (1/4) = 20/24 + 6/24 = 26/24 = 1 + 2/24 = 1 + 1/12 yard
2. The sum of 5/6 yard and 2/3 yard: (5/6) + (2/3) = 10/12 + 8/12 = 18/12 = 1 + 6/12 = 1 + 1/2 yard
3. The sum of 1/4 yard and 2/3 yard: (1/4) + (2/3) = 3/12 + 8/12 = 11/12 = 1 - 1/12 yard

From these calculations, we can see that the closest pair to 1 yard is the combination of the lengths 5/6 yard and 1/4 yard, which gives us a total length of 1 + 1/12 yard.