Add fractions with unlike denominators whose sum is less than 2.
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For some problems in this lesson, students may use the computation-specific strategy of making a whole (e.g., $$\frac{2}{5}+\frac{4}{5}=\frac{10}{15}+\frac{12}{15}=\frac{7}{15}+\frac{3}{15}+\frac{12}{15}=\frac{7}{15}+1=1\frac{7}{15}$$). Discussing various strategies and their advantages and disadvantages “provide opportunities for students to compare approaches and justify steps in their computations (MP.3)” (NF Progression, p. 13).
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a. $${{1\over3}+{1\over4}}$$
b. $${{1\over2}+{2\over3}}$$
Grade 5 Mathematics > Module 3 > Topic B > Lesson 4 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.$$\frac{4}{5}+\frac{6}{7}$$
a. $$\frac{2}{3}+\frac{4}{5}$$
b. $$\frac{5}{12}+\frac{2}{3}$$
c. $$\frac{1}{6}+\frac{3}{8}$$
Grade 5 Mathematics > Module 3 > Topic C > Lesson 9 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?
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Solve. Show or explain your work.
$${{5\over6}+{1\over3}}$$
Grade 5 Mathematics > Module 3 > Topic B > Lesson 4 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Solve. Show or explain your work.
Patrick drank $${{3\over4}}$$ liter of water Monday before jogging. He drank $${{4\over5}}$$ liter of water after his jog. How much water did Patrick drink altogether?
Grade 5 Mathematics > Module 3 > Topic B > Lesson 4 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?