Meeting the Needs of ALL Students!

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

*For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)*

- Group: Pairs/Alone
- Materials: 8.5 x 11 sheet of paper, two color counters, paper and pencil, Simplifying Fractions with Models sheet, black markers

Issue 40 two-color counters to pairs, an 8.5 x 11 sheet of paper, and a black marker to each student. Instruct students to fold the paper in half, lengthwise. Have students trace over the folded crease with a black marker. Write the fraction 6⁄8 on the board. Instruct students to use the counters to model 6⁄8 by showing 6 counters above the line to represent the numerator and 8 counters below the line to represent the denominator as shown in Example 1 below.

Place the counters in the numerator and denominator in largest possible equal-sized groups, as shown in Example 2 below. Emphasize that students must show the same number of equal groups for the numerator and denominator. The result shows that there are three groups of 3 in the numerator and four groups of 3 in the denominator. The simplified fraction is ^{3}⁄_{4}.

Have students model how to simplify the fractions below with the counters.

Issue the **Simplifying Fractions With Models sheet** to each student for them to complete independently. Ask questions relating to the greatest common factor of two numbers.

© Common Core Math Activities

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