a large pie was cut into 12 pieces 2/6 of The Pie was eaten how much is left over?
4/6 * 12 = 48/6 = 8 pieces left over
To find out how much of the pie is left over after eating 2/6 of it, we need to subtract the amount that was eaten from the total size of the pie.
First, let's determine the fraction of the pie that was eaten. We were given that "2/6 of the pie was eaten." So, we have 2 out of 6 equal pieces.
To calculate the amount eaten, we need to add up these fractional pieces:
2/6 + 2/6
To add fractions, we need a common denominator. In this case, both fractions already have the same denominator of 6. So, we can directly add their numerators:
(2 + 2) / 6 = 4/6
Therefore, 4/6 of the whole pie was eaten.
To calculate how much is left over, we need to subtract 4/6 from the total pie size. Since the whole pie is originally divided into 12 pieces, we can express the whole pie as 12/12.
To find the remaining amount, we subtract the eaten portion (4/6) from the total pie size (12/12):
12/12 - 4/6
To subtract fractions with different denominators, we need to make their denominators the same. In this case, we can multiply the numerator and denominator of 4/6 by 2 to get a common denominator of 12:
12/12 - (4/6 * 2/2)
Simplifying the calculation gives us:
12/12 - 8/12 = 4/12
Therefore, there are 4 out of the initial 12 pieces of the pie left over.
In terms of a whole pie size, we can also simplify 4/12:
4/12 = (4 ÷ 4) / (12 ÷ 4) = 1/3
So, 1/3 of the whole pie is left over.