https://artofproblemsolving.com/wiki/index.php?title=1986_AJHSME_Problems/Problem_6&feed=atom&action=history
1986 AJHSME Problems/Problem 6 - Revision history
2024-03-29T14:22:12Z
Revision history for this page on the wiki
MediaWiki 1.31.1
https://artofproblemsolving.com/wiki/index.php?title=1986_AJHSME_Problems/Problem_6&diff=53660&oldid=prev
Aquakitty11 at 01:10, 4 July 2013
2013-07-04T01:10:49Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 01:10, 4 July 2013</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Introductory Algebra Problems]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Introductory Algebra Problems]]</div></td></tr>
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Aquakitty11
https://artofproblemsolving.com/wiki/index.php?title=1986_AJHSME_Problems/Problem_6&diff=31768&oldid=prev
5849206328x at 22:53, 20 May 2009
2009-05-20T22:53:10Z
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5849206328x
https://artofproblemsolving.com/wiki/index.php?title=1986_AJHSME_Problems/Problem_6&diff=29665&oldid=prev
5849206328x: /* Solution */
2009-01-24T14:26:20Z
<p><span dir="auto"><span class="autocomment">Solution</span></span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 14:26, 24 January 2009</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Solution==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Solution==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">A rather simple problem</del>, <del class="diffchange diffchange-inline">if you have a basic understanding of fractions.</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Just simplify the bottom as <math>\frac{3}{3}-\frac{2}{3}=\frac{1}{3}</math></ins>, <ins class="diffchange diffchange-inline">getting us <math>\frac{2}{\frac{1}{3}}</math>, with which we multiply top and bottom by 3, we get <math>\frac{6}{1}</math>, or <math>6</math></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Just simplify the bottom, getting us </del><math>\<del class="diffchange diffchange-inline">frac{2}</del>{\<del class="diffchange diffchange-inline">frac{1}</del>{<del class="diffchange diffchange-inline">3</del>}}<del class="diffchange diffchange-inline"></math>, with which we multiply both sides by 3, getting us <math>\frac{6}{1}</math>, or <math>6</del></math></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math>\<ins class="diffchange diffchange-inline">boxed</ins>{\<ins class="diffchange diffchange-inline">text</ins>{<ins class="diffchange diffchange-inline">E</ins>}}</math></div></td></tr>
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5849206328x
https://artofproblemsolving.com/wiki/index.php?title=1986_AJHSME_Problems/Problem_6&diff=29656&oldid=prev
Waffle at 03:24, 24 January 2009
2009-01-24T03:24:36Z
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 03:24, 24 January 2009</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{<del class="diffchange diffchange-inline">Solution</del>}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">A rather simple problem, if you have a basic understanding of fractions.</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Just simplify the bottom, getting us <math>\frac</ins>{<ins class="diffchange diffchange-inline">2}{\frac{1}{3}}</math>, with which we multiply both sides by 3, getting us <math>\frac</ins>{<ins class="diffchange diffchange-inline">6</ins>}<ins class="diffchange diffchange-inline">{1</ins>}<ins class="diffchange diffchange-inline"></math>, or <math>6</math></ins></div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==See Also==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==See Also==</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[1986 AJHSME Problems]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[1986 AJHSME Problems]]</div></td></tr>
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Waffle
https://artofproblemsolving.com/wiki/index.php?title=1986_AJHSME_Problems/Problem_6&diff=29612&oldid=prev
5849206328x: New page: ==Problem== <math>\frac{2}{1-\frac{2}{3}}=</math> <math>\text{(A)}\ -3 \qquad \text{(B)}\ -\frac{4}{3} \qquad \text{(C)}\ \frac{2}{3} \qquad \text{(D)}\ 2 \qquad \text{(E)}\ 6</math> ==...
2009-01-19T13:09:55Z
<p>New page: ==Problem== <math>\frac{2}{1-\frac{2}{3}}=</math> <math>\text{(A)}\ -3 \qquad \text{(B)}\ -\frac{4}{3} \qquad \text{(C)}\ \frac{2}{3} \qquad \text{(D)}\ 2 \qquad \text{(E)}\ 6</math> ==...</p>
<p><b>New page</b></p><div>==Problem==<br />
<br />
<math>\frac{2}{1-\frac{2}{3}}=</math><br />
<br />
<math>\text{(A)}\ -3 \qquad \text{(B)}\ -\frac{4}{3} \qquad \text{(C)}\ \frac{2}{3} \qquad \text{(D)}\ 2 \qquad \text{(E)}\ 6</math><br />
<br />
==Solution==<br />
<br />
{{Solution}}<br />
<br />
==See Also==<br />
<br />
[[1986 AJHSME Problems]]</div>
5849206328x