Common Core: 4th Grade Math : Solve Word Problems Involving Addition and Subtraction of Fractions: CCSS.Math.Content.4.NF.B.3d

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #111 : Number & Operations: €”Fractions

This year, Samantha grew \(\displaystyle \frac{1}{6}\) of an inch, and her brother, David, grew \(\displaystyle \frac{2}{6}\) of an inch. How much more did David grow than Samantha?

Possible Answers:

\(\displaystyle \frac{3}{6}\)

\(\displaystyle \frac{2}{6}\)

\(\displaystyle \frac{1}{6}\)

\(\displaystyle \frac{5}{6}\)

\(\displaystyle \frac{4}{6}\)

Correct answer:

\(\displaystyle \frac{1}{6}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown. 

\(\displaystyle \frac{2}{6}-\frac{1}{6}=\frac{1}{6}\)

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Example Question #1 : Adding Fractions In Word Problems

In Charlie's pantry, \(\displaystyle \frac{2}{5}\) of the items are potato chips, \(\displaystyle \frac{1}{5}\) of the items are tortilla chips, and the rest are cookies or crackers. What fraction are chips?

Possible Answers:

\(\displaystyle \frac{3}{5}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{2}{5}\)

Correct answer:

\(\displaystyle \frac{3}{5}\)

Explanation:

To solve this problem, we are putting the potato chips and the tortilla chips together, so we add the fractions. 

\(\displaystyle \frac{2}{5}+\frac{1}{5}=\frac{3}{5}\)

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Example Question #2 : Adding Fractions In Word Problems

In Stuart's pantry, \(\displaystyle \frac{1}{5}\) of the items are chips and \(\displaystyle \frac{1}{5}\) of the items are cereal. What fraction of the items are chips or cereal?  

Possible Answers:

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{3}{5}\)

Correct answer:

\(\displaystyle \frac{2}{5}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{1}{5}+\frac{1}{5}=\frac{2}{5}\)

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Example Question #1 : Adding Fractions In Word Problems

In Andy's pantry, \(\displaystyle \frac{3}{5}\) of the items are chips and \(\displaystyle \frac{1}{5}\) of the items are cereal. What fraction of the items are chips or cereal?  

 

Possible Answers:

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{3}{5}\)

Correct answer:

\(\displaystyle \frac{4}{5}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{3}{5}+\frac{1}{5}=\frac{4}{5}\)

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Example Question #2 : Adding Fractions In Word Problems

In Sara's pantry, \(\displaystyle \frac{2}{10}\) of the items are chips and \(\displaystyle \frac{3}{10}\) of the items are cereal. What fraction of the items are chips or cereal?  

Possible Answers:

\(\displaystyle \frac{6}{10}\)

\(\displaystyle \frac{2}{10}\)

\(\displaystyle \frac{3}{10}\)

\(\displaystyle \frac{4}{10}\)

\(\displaystyle \frac{5}{10}\)

Correct answer:

\(\displaystyle \frac{5}{10}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{2}{10}+\frac{3}{10}=\frac{5}{10}\)

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Example Question #5 : Adding Fractions In Word Problems

In Susan's pantry, \(\displaystyle \frac{6}{10}\) of the items are chips and \(\displaystyle \frac{3}{10}\) of the items are cereal. What fraction of the items are chips or cereal?  

 

Possible Answers:

\(\displaystyle \frac{9}{10}\)

\(\displaystyle \frac{8}{10}\)

\(\displaystyle \frac{6}{10}\)

\(\displaystyle \frac{5}{10}\)

\(\displaystyle \frac{7}{10}\)

Correct answer:

\(\displaystyle \frac{9}{10}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{6}{10}+\frac{3}{10}=\frac{9}{10}\)

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Example Question #6 : Adding Fractions In Word Problems

In Dan's pantry, \(\displaystyle \frac{3}{10}\) of the items are chips and \(\displaystyle \frac{4}{10}\) of the items are cereal. What fraction of the items are chips or cereal?  

 

Possible Answers:

\(\displaystyle \frac{7}{10}\)

\(\displaystyle \frac{6}{10}\)

\(\displaystyle \frac{9}{10}\)

\(\displaystyle \frac{8}{10}\)

\(\displaystyle \frac{5}{10}\)

Correct answer:

\(\displaystyle \frac{7}{10}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{3}{10}+\frac{4}{10}=\frac{7}{10}\)

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Example Question #7 : Adding Fractions In Word Problems

In Susan's pantry, \(\displaystyle \frac{2}{10}\) of the items are chips and \(\displaystyle \frac{7}{10}\) of the items are cereal. What fraction of the items are chips or cereal?  

Possible Answers:

\(\displaystyle \frac{6}{10}\)

\(\displaystyle \frac{7}{10}\)

\(\displaystyle \frac{9}{10}\)

\(\displaystyle \frac{8}{10}\)

\(\displaystyle \frac{5}{10}\)

Correct answer:

\(\displaystyle \frac{9}{10}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{2}{10}+\frac{7}{10}=\frac{9}{10}\)

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Example Question #8 : Adding Fractions In Word Problems

In Mark's pantry, \(\displaystyle \frac{1}{6}\) of the items are chips and \(\displaystyle \frac{1}{6}\) of the items are cereal. What fraction of the items are chips or cereal?  

 

Possible Answers:

\(\displaystyle \frac{5}{6}\)

\(\displaystyle \frac{3}{6}\)

\(\displaystyle \frac{4}{6}\)

\(\displaystyle \frac{1}{6}\)

\(\displaystyle \frac{2}{6}\)

Correct answer:

\(\displaystyle \frac{2}{6}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{1}{6}+\frac{1}{6}=\frac{2}{6}\)

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Example Question #9 : Adding Fractions In Word Problems

In Tim's pantry, \(\displaystyle \frac{3}{6}\) of the items are chips and \(\displaystyle \frac{1}{6}\) of the items are cereal. What fraction of the items are chips or cereal?  

 

Possible Answers:

\(\displaystyle \frac{4}{6}\)

\(\displaystyle \frac{3}{6}\)

\(\displaystyle \frac{2}{6}\)

\(\displaystyle \frac{5}{6}\)

\(\displaystyle \frac{1}{6}\)

Correct answer:

\(\displaystyle \frac{4}{6}\)

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions. 

\(\displaystyle \frac{3}{6}+\frac{2}{6}=\frac{4}{6}\)

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