To find out how much of the pie is left after Justin and Joey ate their portions, we need to add the fractions of the pie they consumed and then subtract that from the whole pie.
- Justin ate \( \frac{1}{3} \) of the pie.
- Joey ate \( \frac{1}{4} \) of the pie.
To add these two fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.
Converting the fractions:
-
Justin's portion: \[ \frac{1}{3} = \frac{4}{12} \]
-
Joey's portion: \[ \frac{1}{4} = \frac{3}{12} \]
Now, we can add these two fractions: \[ \frac{4}{12} + \frac{3}{12} = \frac{7}{12} \]
This means Justin and Joey together ate \( \frac{7}{12} \) of the pie.
To find out how much of the pie is left, we subtract the portion eaten from the whole pie (which is 1, or \( \frac{12}{12} \)): \[ 1 - \frac{7}{12} = \frac{12}{12} - \frac{7}{12} = \frac{5}{12} \]
Therefore, the amount of pie left is \( \frac{5}{12} \).
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