Video and Examples

This video will show you how to subtract fractions from a whole number. Sample 3\,-\,1\frac{3}{4}\,=

 

 

If you have a dollar, you can always cash it in for four quarters - it is an even exchange. This can be represented mathematically as 1\,=\,\frac{4}{4}.

Similarly, if you have 3 dollars, you can cash in one of those dollars for four quarters, leaving you with two dollars and four quarters - the same amount of money as 3. This can be represented mathematically as 3\,=\,2\frac{4}{4}.</p>
<p>We are going to use this idea of exchanging a whole number for an equivalent amount of fractions to learn how to subtract fractions from a whole number.</p>
<p> </p>
<hr>
<p>Example 1: 4\,-\,1\frac{2}{5}\,=</p>
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                <p>Step 1: Model the first number</p>
                <p><img alt="" id="_x0000_i1030" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image006.png" width="49" height="33"></p>
                <p><img alt="" id="_x0000_i1031" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image007.png" width="125" height="82"></p>
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            <td width="172" valign="top">
                <p>Step 2: Regroup the first number</p>
                <p><img alt="" id="_x0000_i1032" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image008.png" width="58" height="33"></p>
                <p><img alt="" id="_x0000_i1033" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image009.png" width="125" height="82"></p>
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                <p>Step 3: Subtract</p>
                <p><img alt="" id="_x0000_i1034" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image010.png" width="79" height="33"></p>
                <p><img alt="" id="_x0000_i1035" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image011.png" width="125" height="82"></p>
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<p> </p>
<hr>
<p>Example 2: 6\,-\,4\frac{5}{8}\,=</p>
<table width="100%" cellspacing="1" cellpadding="10" border="1">
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                <p>Step 1: Model the first number</p>
                <p><img alt="" id="_x0000_i1037" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image013.png" width="51" height="33"></p>
                <p><img alt="" id="_x0000_i1038" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image014.png" width="125" height="105"></p>
            </td>
            <td width="172" valign="top">
                <p>Step 2: Regroup the first number</p>
                <p><img alt="" id="_x0000_i1039" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image015.png" width="61" height="33"></p>
                <p><img alt="" id="_x0000_i1040" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image016.png" width="126" height="105"></p>
            </td>
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                <p>Step 3: Subtract</p>
                <p><img alt="" id="_x0000_i1041" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image017.png" width="80" height="33"></p>
                <p><img alt="" id="_x0000_i1042" src="http://www.mathvillage.info/sites/default/files/Fractions/Sub_w_regroup/sub_w_regroup_files/image018.png" width="126" height="105"></p>
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<p> </p>
<p style="text-align: center;"><a href="http://www.mathvillage.info/node/147">For more practice with fractions, please try this Fraction Calculator.</a></p>
<p> </p>
<hr>
<p> </p>
<h1>Self-Check</h1>
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<!--QUESTION #1-->
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                <p><strong>Question 1</strong></p>
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Question 1

9\,-\,2\frac{1}{5}\,=</p>
                <p> </p>
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                    <p> </p>
                    <p>9\,-\,2\frac{1}{5}\,=</p>
                    <p>8\frac{5}{5}\,-\,2\frac{1}{5}\,=</p>
                    <p>6\frac{4}{5}</p>
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                <p><strong>Question 2</strong></p>
                <p>

Question 2

4\,-\,1\frac{3}{8}\,=</p>
                <p> </p>
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                    <p>4\,-\,1\frac{3}{8}\,=</p>
                    <p>3\frac{8}{8}\,-\,1\frac{3}{8}\,=</p>
                    <p>2\frac{5}{8}</p>
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<!--QUESTION #3-->
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                <p><strong>Question 3</strong></p>
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Question 3

12\,-\,7\frac{2}{7}\,=</p>
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                    <p> </p>
                    <p>12\,-\,7\frac{2}{7}\,=</p>
                    <p>11\frac{7}{7}\,-\,7\frac{2}{7}\,=</p>
                    <p>4\frac{5}{7}$$


 

Last modified: Thursday, 16 April 2020, 2:14 PM