2019 AMC 8 Problem 3
Attempt Problem 3 of the 2019 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 2019 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
Which of the following is the correct order of the fractions and from least to greatest?
Answer: E
Small hint:
Subtract from each fraction
Big hint:
Compare and
Video solution:
Click to load, then click again to play
Written solution:
We can rewrite the fraction as follows:
Recall that if two fractions have the same numerator, then the fraction with the larger denominator is smaller.
Using this fact, we can see that the correct ordering is
Thus, the correct answer is E.
Problem 3 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
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- 2007 AMC 8
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- 2012 AMC 8
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