Question

lance baked a pie. justin ate \\(\frac{2}{3}\\) of the pie, and joey ate \\(\frac{1}{4}\\) of the pie. how much of the pie is left? \\(\bigcirc\\) a. \\(\frac{1}{12}\\) \\(\bigcirc\\) b. \\(\frac{1}{4}\\) \\(\bigcirc\\) c. \\(\frac{7}{12}\\) \\(\bigcirc\\) d. \\(\frac{1}{2}\\)

Explanation:

Step1: Set total pie as 1

Let the whole pie be $1$.

Step2: Find total eaten fraction

Convert to common denominator (12):
$\frac{2}{3} + \frac{1}{4} = \frac{8}{12} + \frac{3}{12} = \frac{11}{12}$

Step3: Calculate remaining pie

Subtract eaten fraction from 1:
$1 - \frac{11}{12} = \frac{12}{12} - \frac{11}{12} = \frac{1}{12}$

Answer:

A. $\frac{1}{12}$