Difference between revisions of "1993 AJHSME Problems/Problem 16"
Mrdavid445 (talk | contribs) (Created page with "==Problem== <math> \frac{1}{1+\frac{1}{2+\frac{1}{3}}}= </math> <math> \text{(A)}\ 81.0\qquad\text{(B)}\ 82.7\qquad\text{(C)}\ 83.0\qquad\text{(D)}\ 84.0\qquad\text{(E)}\ 84.3 ...") |
(Undo revision 80587 by Ivanthekingiii (talk)) |
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<math> \frac{1}{1+\frac{1}{2+\frac{1}{3}}}= </math> | <math> \frac{1}{1+\frac{1}{2+\frac{1}{3}}}= </math> | ||
| − | <math> \text{(A)}\ | + | <math>\text{(A)}\ \dfrac{1}{6} \qquad \text{(B)}\ \dfrac{3}{10} \qquad \text{(C)}\ \dfrac{7}{10} \qquad \text{(D)}\ \dfrac{5}{6} \qquad \text{(E)}\ \dfrac{10}{3}</math> |
| + | |||
| + | ==Solution== | ||
| + | <cmath>\frac{1}{1+\frac{1}{2+\frac13}} = \frac{1}{1+\frac{1}{\frac73}} = \frac{1}{1+\frac37} = \frac{1}{\frac{10}{7}} = \boxed{\text{(C)}\ \frac{7}{10}} </cmath> | ||
| + | |||
| + | ==See Also== | ||
| + | {{AJHSME box|year=1993|num-b=15|num-a=17}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 18:59, 10 October 2016
Problem
Solution
![\[\frac{1}{1+\frac{1}{2+\frac13}} = \frac{1}{1+\frac{1}{\frac73}} = \frac{1}{1+\frac37} = \frac{1}{\frac{10}{7}} = \boxed{\text{(C)}\ \frac{7}{10}}\]](http://latex.artofproblemsolving.com/2/0/4/2049d00fe79ffb05b164c4a606d39f0b6e11449b.png)
See Also
| 1993 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 15 |
Followed by Problem 17 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
