Jim had three waffles. He ate 1/6 of one waffle, and 2/3 of another waffle. How many waffles were left?
To find out how many waffles were left, we need to subtract the amount of waffles Jim ate from the initial number of waffles he had.
Jim had three waffles. He ate 1/6 of one waffle and 2/3 of another waffle.
Let's calculate the amount Jim ate:
1/6 + 2/3
To add fractions, we need a common denominator. In this case, we can multiply both fractions by 6 to make the denominators the same:
(1/6) * (6/6) + (2/3) * (2/2)
This becomes:
6/36 + 12/36
Adding the numerators:
(6 + 12) / 36 = 18/36
Now, let's simplify the fraction:
18/36 = 1/2
Jim ate a total of 1/2 of a waffle.
To find out how many waffles were left, we subtract 1/2 from the initial three waffles:
3 - 1/2 = 3/1 - 1/2 = (6/2) - (1/2) = 5/2
Therefore, Jim had 5/2 waffles left, which is equivalent to 2 and a half waffles.
1/6 + 4/6 = 5/6
3 waffles = 18/6
18/6 - 5/6 = ?