Add and subtract more than two fractions.
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Ancient Egyptians used unit fractions, such as $${{1\over2}}$$ and $${{1\over3}}$$, to represent all fractions. For example, they might write the number $${{{{2\over3}}}}$$ as $${{{1\over2}}}+{1\over6}$$.
We often think of $${{{{2\over3}}}}$$ as $${{{1\over3}}}+{{{1\over3}}}$$, but the ancient Egyptians would not write it this way because they didn’t use the same unit fraction twice.
i. $${{{1\over2}}}+{{{1\over3}}}$$
ii. $${{{1\over2}}}+{{{1\over3}}}+{1\over5}$$
iii. $${{1\over4}+{1\over5}+{1\over12}}$$
Egyptian Fractions, accessed on Feb. 8, 2018, 12:52 p.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.
Solve. Show or explain your work.
a. $${{2\over3}+{1\over4}+{1\over2}}$$
b. $${{2\over3}+{1\over5}+{1\over3}+1{4\over5}}$$
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.Grade 5 Mathematics > Module 3 > Topic D > Lesson 14 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.
a. $${8{11\over12}-{14\over3}-{9\over4}}$$
b. $${5{7\over8}-{1\over2}-{7\over8}-1{1\over2}}$$
Grade 5 Mathematics > Module 3 > Topic D > Lesson 14 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.
a. $${6{3\over4}+{3\over5}-5{1\over2}}$$
b. $${2{5\over6}-{1\over3}+{1\over6}}$$
Grade 5 Mathematics > Module 3 > Topic D > Lesson 14 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.
$${{3\over4}+{4\over5}-{7\over10}}$$
Grade 5 Mathematics Paper-Based Practice Test from Mathematics Practice Tests is made available by Partnership for Assessment of Readiness for College and Careers. © Copyright 1998 - 2015 Pearson Education, Inc. or its affiliate(s). All rights reserved. Accessed Feb. 5, 2018, 12:11 p.m..
Solve.
$${8{4\over5}-{2\over3}+3{7\over10}}$$
Grade 5 Mathematics > Module 3 > Topic D > Lesson 14 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.?