Common Core: 4th Grade Math : Common Core Math: Grade 4

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

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Example Questions

Example Question #542 : Number & Operations: €”Fractions

Cindy has a reading assignment to complete by Friday. She read \(\displaystyle \frac{1}{6}\) of the book on Monday and \(\displaystyle \frac{1}{6}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

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

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Example Question #543 : Number & Operations: €”Fractions

Becca has a reading assignment to complete by Friday. She read \(\displaystyle \frac{2}{6}\) of the book on Monday and \(\displaystyle \frac{1}{6}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{2}{6}+\frac{1}{6}=\frac{3}{6}\)

3 6

Example Question #544 : Number & Operations: €”Fractions

Mindy has a reading assignment to complete by Friday. She read \(\displaystyle \frac{1}{8}\) of the book on Monday and \(\displaystyle \frac{1}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{6}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{2}{8}\)

Correct answer:

\(\displaystyle \frac{2}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{1}{8}+\frac{1}{8}=\frac{2}{8}\)

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Example Question #31 : How To Add Fractions

Ellen has a reading assignment to complete by Friday. She read \(\displaystyle \frac{1}{8}\) of the book on Monday and \(\displaystyle \frac{2}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{7}{8}\)

\(\displaystyle \frac{6}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{4}{8}\)

Correct answer:

\(\displaystyle \frac{3}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{1}{8}+\frac{2}{8}=\frac{3}{8}\)

3 8

Example Question #546 : Number & Operations: €”Fractions

Ashley has a reading assignment to complete by Friday. She read \(\displaystyle \frac{2}{8}\) of the book on Monday and \(\displaystyle \frac{2}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{6}{8}\)

\(\displaystyle \frac{7}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{3}{8}\)

Correct answer:

\(\displaystyle \frac{4}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{2}{8}+\frac{2}{8}=\frac{4}{8}\)

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Example Question #21 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Kelsey has a reading assignment to complete by Friday. She read \(\displaystyle \frac{3}{8}\) of the book on Monday and \(\displaystyle \frac{2}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{1}{8}\)

\(\displaystyle \frac{2}{8}\)

Correct answer:

\(\displaystyle \frac{5}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{3}{8}+\frac{2}{8}=\frac{5}{8}\)

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Example Question #241 : Build Fractions From Unit Fractions

Linda has a reading assignment to complete by Friday. She read \(\displaystyle \frac{2}{8}\) of the book on Monday and \(\displaystyle \frac{4}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{6}{8}\)

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{7}{8}\)

\(\displaystyle \frac{5}{8}\)

Correct answer:

\(\displaystyle \frac{6}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{2}{8}+\frac{4}{8}=\frac{6}{8}\)

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Example Question #549 : Number & Operations: €”Fractions

Becky has a reading assignment to complete by Friday. She read \(\displaystyle \frac{3}{8}\) of the book on Monday and \(\displaystyle \frac{3}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{2}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{6}{8}\)

Correct answer:

\(\displaystyle \frac{6}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{3}{8}+\frac{3}{8}=\frac{6}{8}\)

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Example Question #32 : How To Add Fractions

Molly has a reading assignment to complete by Friday. She read \(\displaystyle \frac{2}{8}\) of the book on Monday and \(\displaystyle \frac{5}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{6}{8}\)

\(\displaystyle \frac{7}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{3}{8}\)

Correct answer:

\(\displaystyle \frac{7}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{2}{8}+\frac{5}{8}=\frac{7}{8}\)

7 8

Example Question #551 : Number & Operations: €”Fractions

Kalea has a reading assignment to complete by Friday. She read \(\displaystyle \frac{4}{8}\) of the book on Monday and \(\displaystyle \frac{3}{8}\) of the book on Wednesday. What fraction of the reading assignment has she completed? 

 

Possible Answers:

\(\displaystyle \frac{6}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{7}{8}\)

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{3}{8}\)

Correct answer:

\(\displaystyle \frac{7}{8}\)

Explanation:

To solve this problem, we are putting the reading that was done on Monday and the reading that was done on Wednesday together, so we add the fractions. 

\(\displaystyle \frac{4}{8}+\frac{3}{8}=\frac{7}{8}\)

7 8

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