Convert fractions greater than 1 to mixed numbers.
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Before the Problem Set, you could have students play a game to practice converting fractions greater than one to mixed numbers, such as the "Converting Mixed Numbers Game: Pin the Fraction on the Number Line (whole-group version)” from Games with Fraction Strips and Fraction Cards on The Max Ray Blog.
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Ms. Giordano, a high school soccer coach, tells her players to run between $$3$$ and $$4$$ miles every week over the summer in preparation for the fall season. Kayla runs $${{1\over2}}$$ mile every day. Will Kayla run enough each week for Ms. Giordano? How do you know?
Convert the following fractions to mixed numbers. Show or explain your work.
a. $${{8\over3}}$$
b. $${{15\over4}}$$
c. $${{32\over6}}$$
Grade 4 Mathematics > Module 5 > Topic E > Lesson 24 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.Alice wrote the fraction $${{36\over5}}$$ as a mixed number. Here is her work:
$$\frac{36}{5} = \frac{35}{5} + \frac{1}{5}$$ | (Step 1) |
$$=\left(7\times\frac{5}{5}\right)+\frac{1}{5}$$ | (Step 2) |
$${=7+{1\over5}}$$ | (Step 3) |
$${=7{1\over5}}$$ | (Step 4) |
Explain what Alice did in each step.
Writing a Mixed Number as an Equivalent Fraction, accessed on July 18, 2018, 9:50 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.?
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Convert each fraction to a mixed number. Show or explain your work.
1. $${{17\over5}}$$
2. $${{19\over3}}$$
3. $${{11\over4}}$$
Grade 4 Mathematics > Module 5 > Topic E > Lesson 24 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.?