04:_Fractions

view live ↗

<div id="fac89a38-a99d-42de-bf6f-c64825a915c9" class="mt-guide-content"><div class="noindex"><ul class="mt-topic-hierarchy-listings mt-guide-listings"><li data-page-id="9842" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.1: Introduction to Fractions" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.01:_Introduction_to_Fractions">4.1: Introduction to Fractions</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="9843" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.2: What is a Fraction?" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.02:_What_is_a_Fraction">4.2: What is a Fraction?</a></dt><dd class="mt-listing-detailed-overview">One of the things that makes fractions such a difficult concept to teach and to learn is that you have to think about them in a lot of different ways, depending on the problem at hand. For now, we are going to think of a fraction as the answer to a division problem.</dd></dl></li><li data-page-id="9844" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.3: The Key Fraction Rule" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.03:_The_Key_Fraction_Rule">4.3: The Key Fraction Rule</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="9845" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.4: Adding and Subtracting Fractions" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.04:_Adding_and_Subtracting_Fractions">4.4: Adding and Subtracting Fractions</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="9846" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.5: What is a Fraction? Revisited" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.05:_What_is_a_Fraction_Revisited">4.5: What is a Fraction? Revisited</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="9847" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.6: Multiplying Fractions" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.06:_Multiplying_Fractions">4.6: Multiplying Fractions</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="10579" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.7: Dividing Fractions- Meaning" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.07:_Dividing_Fractions-_Meaning">4.7: Dividing Fractions- Meaning</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="10581" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.8: Dividing Fractions- Invert and Multiply" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.08:_Dividing_Fractions-_Invert_and_Multiply">4.8: Dividing Fractions- Invert and Multiply</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="10584" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.9: Dividing Fractions- Problems" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.09:_Dividing_Fractions-_Problems">4.9: Dividing Fractions- Problems</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="10587" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.10: Fractions involving zero" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.10:_Fractions_involving_zero">4.10: Fractions involving zero</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="10588" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.11: Problem Bank" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.11:_Problem_Bank">4.11: Problem Bank</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="10589" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.12: Egyptian Fractions" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.12:_Egyptian_Fractions">4.12: Egyptian Fractions</a></dt><dd class="mt-listing-detailed-overview">An Egyptian fraction is a finite sum of distinct unit fractions.</dd></dl></li><li data-page-id="10591" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.13: Algebra Connections" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.13:_Algebra_Connections">4.13: Algebra Connections</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li><li data-page-id="10592" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="4.14: What is a Fraction? Part 3" class="internal" href="/https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematics_for_Elementary_Teachers_(Manes)/04:_Fractions/4.14:_What_is_a_Fraction_Part_3">4.14: What is a Fraction? Part 3</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li></ul></div></div><script type="application/json" id="mt-localizations-guide-tabs-settings">/*<![CDATA[*/{"MindTouch.IDF3.label.guide.settings.classifications":"Classification settings","MindTouch.IDF3.label.guide.settings.learningpath":"Path settings","MindTouch.IDF3.label.overview.max.count":"{0} characters remaining.","MindTouch.IDF3.label.overview.max.count.over":"Warning. {0} characters will be truncated.","MindTouch.LearningPath.dialog.remove.cancel":"Cancel","MindTouch.LearningPath.dialog.remove.confirm":"OK","MindTouch.LearningPath.dialog.remove.header":"Remove path","MindTouch.LearningPath.dialog.remove.message":"You are about to remove this path from this guide."}/*]]>*/</script>

The &ldquo;Pies Per Child[1]&rdquo; approach to fractions used in this part comes from James Tanton, and is used with his permission. See his development of these and other ideas at <a href="http://gdaymath.com/" target="_blank" rel="external noopener nofollow" class="external">http://gdaymath.com/</a>.

<hr />
<ol>
 <li class="lt-math-9848">Pie image by Claus Ableiter (Own work) [GFDL, CC-BY-SA-3.0 or CC BY-SA 2.5-2.0-1.0], via Wikimedia Commons &crarr;</li>
</ol>

Reset