2012 AMC 8 Problem 4

Attempt Problem 4 of the 2012 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

4.

Peter’s family ordered a 1212-slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?
124 \dfrac{1}{24}
112 \dfrac{1}{12}
18 \dfrac{1}{8}
16 \dfrac{1}{6}
14 \dfrac{1}{4}
Answer: C
Concepts:fraction
Small hint:
Peter ate one whole slice plus half of another slice.
Big hint:
Convert 1+121+\frac{1}{2} slices into a fraction of 1212 slices.
Video solution:
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Written solution:
Peter ate 11 full slice, and he ate 12\dfrac 12 of the slice that he split.
Therefore, he ate 3212 \dfrac{\frac{3}{2}}{12} of the pizza, which is equivalent to 18.\dfrac 18.
Thus, the answer is C .
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