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.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
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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.?
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.?
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