fraction equivalence
Some fractions can equal each other. When two fractions are equal to each other then they are said to be equivalent. Look at the following picture to understand how this happens:
The above fractions are equivalent, or are equal to each other. There are two easy ways discover what fractions are equivalent to a certain fraction. First, you can use a multiplier. To use a multiplier you take any fraction and multiply both the numerator and denominator by the same number, and the old fraction will be equivalent to the new fraction.
Using a multiplier of 2, we multiply both the denominator and numerator. 3 x 2 = 6, so the new numerator is 6. 4 x 2 = 8, so the new denominator is 8. This gives us a fraction of 6/8 which is equal to 3/4!
Another way to discover what fractions are equivalent to a certain fraction is to use a divider. To use a divider you take any fraction and divide both the numerator and denominator by the same number, and the old fraction will be equivalent to the new fraction. Just make sure that both the numerator and denominator are divisible by the divider and have no remainder!
Another way to discover what fractions are equivalent to a certain fraction is to use a divider. To use a divider you take any fraction and divide both the numerator and denominator by the same number, and the old fraction will be equivalent to the new fraction. Just make sure that both the numerator and denominator are divisible by the divider and have no remainder!
Using a divider of 2, we divide both the denominator and numerator. 4 ÷ 2 = 2, so the new denominator is 2. 2 ÷ 2 = 1, so the new numerator is 1. This gives us a fraction of 1/2 which is equal to 2/4!
Can you think of what fractions are equivalent to 1/2? Play the following video to see if you thought of one of the correct answers! (Pay special attention to the fraction pictures!)
Try another practice problem: Using a divider of 3, what fraction is equivalent to 9/15? Scroll over the image below to check your answer!
Great job! Think you have mastered fraction equivalence? HERE is a fun game to test your skills. Used the timed mode to prove your mastery of equivalence! What level did you get to? After, click the arrow below to learn about adding fractions!