Question

john and liz are sharing a large pizza. john ate \\(\frac{1}{3}\\) of the pizza, and liz ate \\(\frac{1}{4}\\) of the pizza. how much of the pizza is left?\
\\(\bigcirc\\) a. \\(\frac{2}{3}\\)\
\\(\bigcirc\\) b. \\(\frac{5}{12}\\)\
\\(\bigcirc\\) c. \\(\frac{7}{12}\\)\
\\(\bigcirc\\) d. \\(\frac{1}{12}\\)

Explanation:

Step1: Find total eaten fraction

To find the total fraction of the pizza eaten by John and Liz, we add the fractions they ate. John ate $\frac{1}{3}$ and Liz ate $\frac{1}{4}$. The common denominator of 3 and 4 is 12. So, $\frac{1}{3}=\frac{4}{12}$ and $\frac{1}{4}=\frac{3}{12}$. Then, the total eaten is $\frac{4}{12}+\frac{3}{12}=\frac{4 + 3}{12}=\frac{7}{12}$.

Step2: Find remaining fraction

The whole pizza is represented as 1 (or $\frac{12}{12}$). To find the remaining fraction, we subtract the total eaten from 1. So, $1-\frac{7}{12}=\frac{12}{12}-\frac{7}{12}=\frac{12 - 7}{12}=\frac{5}{12}$.

Answer:

B. $\frac{5}{12}$