Question

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.how much cable is left

Answer 1

Explanation:

Answer = 3/4 yards

But you want the long answer right? No?

So you have 3 lengths 5/6, 1/4, 2/3. You need to add them, but uh oh! You don't have a common denominator. So we have to find it, use it to change up the fractions, then add them.

so common denominator of 6, 4, and 3 is 12

Change up the fractions appearance for addition:

5/6 = 10/12 (multiply 6 and 2 to get 12, so we multiply5 and 2 to get 10)

1/4 = 3/12 (multiply 4 and 3 to get 12, so we multiply 1 and 3 to get 10)

2/3 = 8/12 (multiply 3 and 4 to get 12, so we multiply 2 and 4 to get 8)

Now add em up!

10/12 + 3/12 + 8/12 = 21/12 yards in total.

Now what? He uses one yard of cable, so you subtract said one yard from the total you have: 21/12

21/12 - 1 (like this chief)

Equivalent fractions are needed here again, so let's convert 1 to a fraction we can work with!

1 = 1/1 (Because 1/1 equals 1)

1/1 = 12/12 (multiply 1 and 12 to get 12 in the denominator, so multiply 1 and 12 in the denominator to get 12)

Okay! Now let's subtract!

21/12-12/12 = 9/12 yards

Reduce fractions: 3/4 yards

You got this!

Answer 2

1/4+2/3 = (3+8)/12 = 11/12 = 0.9175/6+1/4 = (10+3)/12 = 13/12 = 1.0835/6+2/3 = (5+4)/6 = 9/6 = 3/2 = 1.5so, closest to 1 = (1/4+2/3)