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.
click on the button above "click here to start" and MAXIMIZE the window obtained.
Use the the NUMERATOR and DENOMINATOR sliders to model a fraction, 1 / 2 for example which is one half of the whole.
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.
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.