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}.
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.
 

Example 1: 4\,-\,1\frac{2}{5}\,=

    
        
            
                Step 1: Model the first number
                
                
            
            
                Step 2: Regroup the first number
                
                
            
            
                Step 3: Subtract
                
                
            
        
    

 

Example 2: 6\,-\,4\frac{5}{8}\,=

    
        
            
                Step 1: Model the first number
                
                
            
            
                Step 2: Regroup the first number
                
                
            
            
                Step 3: Subtract
                
                
            
        
    

 
For more practice with fractions, please try this Fraction Calculator.
 

 
Self-Check



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                Question 1
                9\,-\,2\frac{1}{5}\,=
                 
            
            [show answer]
                
                     
                    9\,-\,2\frac{1}{5}\,=
                    8\frac{5}{5}\,-\,2\frac{1}{5}\,=
                    6\frac{4}{5}
                
            
        
    




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                Question 2
                4\,-\,1\frac{3}{8}\,=
                 
            
            [show answer]
                
                     
                    4\,-\,1\frac{3}{8}\,=
                    3\frac{8}{8}\,-\,1\frac{3}{8}\,=
                    2\frac{5}{8}
                
            
        
    




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                Question 3
                12\,-\,7\frac{2}{7}\,=
                 
            
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                    12\,-\,7\frac{2}{7}\,=
                    11\frac{7}{7}\,-\,7\frac{2}{7}\,=
                    4\frac{5}{7}$$