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Adding and Subtracting Fractions with Like Denominators Name Vocabulary The following properties of addition are true for all real numbers. In this activity, you will add and subtract fractions using a number line. 1. If the sum of two fractions with 7 , what could be the 4 fractions that were added? Draw the fractions on the number line to show the addition. denominators of 4 is Commutative Property: 0 1 2 3 a + b = ____________ _________________________________ Associative Property: 7 2 . Explain your answer using 10 10 unit fractions. 2. Find (a + b)+ c = ________ _________________________________ Inverse Property: 5 of a mile. How much farther 12 would he have to run to complete two miles? 3. Tomas ran a + (– a) = _________ Identity Property: 0 a + 0 = ____________ 1 2 3 _________________________________ 4. If six equivalent unit fractions are added together and the sum is one, what are the addends? Explain in terms of unit fractions why your answer makes sense. _________________________________ _________________________________ ©2014 Texas Instruments Incorporated education.ti.com