Interactive Tutorial on Equivalent Fractions

Two or more fractions are said to be equivalent if they have the same value. If you multiply the numerator and the denominator of a given fraction a / b by the same number c (c not equal to zero), you obtain an equivalent fraction to the first one given by c a / c b. You may want to work through another interactive tutorial on fractions before the present one.


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click on the button above "click here to start" and MAXIMIZE the window obtained.

  1. Use the the NUMERATOR and DENOMINATOR sliders to model a fraction, 1 / 2 for example which is one half of the whole.

  2. Use the bottom slider to change c, starting from c = 1 to to c = 5. The numerator and denominator change in the same proportion but all the fractions obtained are equivalent because their decimal and percentage values do not change. So the fractions 1 / 2, 2 / 4, 3 / 6 and 4 / 8 are all equivalent; they represent the same quantity. Of course there is an infinite number of fractions equivalent to 1 / 2.

  3. Model the fraction 2 / 5 and use the applet to find equivalent fractions to 2 / 5 and then use your calculator to find more equivalent fractions to 2 / 5.

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    Updated: February 2015

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