comparing common fractions with the same denominator

 

 

 

1.  Compare        and       ;       and       ;       and       .

5

8

      

4

5

2

5

7

9

4

17

11

17

4

9

2

8

  Check your answer with the model.

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You could move the blue square by means of the blue dot.

 

 

2.     Compare           and         ;          and            ;        and         .

15

7

12

7

9

15

14

15

7

11

4

11

 

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You could move the circles by dragging their centers.

3.   Compare         and        .

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Formulate your conjecture about the general rule how to compare two fractions with the same denominator.

You must have noticed that:

If two fractions have the same denominator the bigger is the one with the bigger numerator.

 

4.    Write all common fractions with a denominator  15 between         and        . Verify your answer by means of the model.

 

5.    For which values of the integer х  is the inequality below satisfied?

                                                                  

8

15

 

11

15

Create your own problems by means of the folllowing model:

 

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com