Common Core: 4th Grade Math : Number & Operations: €”Fractions

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

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Example Questions

Example Question #31 : Adding Fractions In Word Problems

On Tuesday it snowed \displaystyle \frac{2}{4} of an inch in the afternoon and \displaystyle \frac{1}{4} of an inch in the evening. What was the total amount of snowfall on Tuesday?

 

Possible Answers:

\displaystyle \frac{3}{4}

\displaystyle \frac{2}{4}

\displaystyle \frac{1}{4}

\displaystyle \frac{4}{4}

\displaystyle \frac{5}{4}

Correct answer:

\displaystyle \frac{3}{4}

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions. 

\displaystyle \frac{2}{4}+\frac{1}{4}=\frac{3}{4}

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Example Question #401 : Fractions

On Monday it snowed \displaystyle \frac{1}{4} of an inch in the afternoon and \displaystyle \frac{1}{4} of an inch in the evening. What was the total amount of snowfall on Monday?

Possible Answers:

\displaystyle \frac{3}{4}

\displaystyle \frac{1}{4}

\displaystyle \frac{4}{4}

\displaystyle \frac{5}{5}

\displaystyle \frac{2}{4}

Correct answer:

\displaystyle \frac{2}{4}

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions. 

\displaystyle \frac{1}{4}+\frac{1}{4}=\frac{2}{4}

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Example Question #261 : Build Fractions From Unit Fractions

On Saturday it snowed \displaystyle \frac{1}{3} of an inch in the afternoon and \displaystyle \frac{1}{3} of an inch in the evening. What was the total amount of snowfall on Saturday?

 

Possible Answers:

\displaystyle \frac{2}{3}

\displaystyle \frac{1}{3}

\displaystyle \frac{5}{3}

\displaystyle \frac{3}{3}

\displaystyle \frac{4}{3}

Correct answer:

\displaystyle \frac{2}{3}

Explanation:

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions. 

\displaystyle \frac{1}{3}+\frac{1}{3}=\frac{2}{3}

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Example Question #561 : 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{4}{6}

\displaystyle \frac{2}{6}

\displaystyle \frac{5}{6}

\displaystyle \frac{3}{6}

\displaystyle \frac{1}{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 : How To Subtract Fractions

This year, Cassie grew \displaystyle \frac{3}{9} of an inch, and her brother, Charlie, grew \displaystyle \frac{5}{9} of an inch. How much more did Charlie grow than Cassie?

 

Possible Answers:

\displaystyle \frac{2}{9}

\displaystyle \frac{5}{9}

\displaystyle \frac{1}{9}

\displaystyle \frac{4}{9}

\displaystyle \frac{6}{9}

Correct answer:

\displaystyle \frac{2}{9}

Explanation:

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

\displaystyle \frac{5}{9}-\frac{3}{9}=\frac{2}{9}

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Example Question #91 : Fractions

This year, Emily grew \displaystyle \frac{1}{6} of an inch, and her brother, Dan, grew \displaystyle \frac{4}{6} of an inch. How much more did Dan grow than Emily?

 

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{3}{6}

Explanation:

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

\displaystyle \frac{4}{6}-\frac{1}{6}=\frac{3}{6}

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Example Question #262 : Build Fractions From Unit Fractions

This year, Sally grew \displaystyle \frac{3}{6} of an inch, and her brother, Drew, grew \displaystyle \frac{5}{6} of an inch. How much more did Drew grow than Sally?

Possible Answers:

\displaystyle \frac{4}{6}

\displaystyle \frac{1}{6}

\displaystyle \frac{5}{6}

\displaystyle \frac{3}{6}

\displaystyle \frac{2}{6}

Correct answer:

\displaystyle \frac{2}{6}

Explanation:

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

\displaystyle \frac{5}{6}-\frac{3}{6}=\frac{2}{6}

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Example Question #562 : Number & Operations: €”Fractions

This year, Molly grew \displaystyle \frac{3}{9} of an inch, and her brother, Andrew, grew \displaystyle \frac{8}{9} of an inch. How much more did Andrew grow than Molly?

 

Possible Answers:

\displaystyle \frac{5}{9}

\displaystyle \frac{7}{9}

\displaystyle \frac{4}{9}

\displaystyle \frac{6}{9}

\displaystyle \frac{8}{9}

Correct answer:

\displaystyle \frac{5}{9}

Explanation:

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

\displaystyle \frac{8}{9}-\frac{3}{9}=\frac{5}{9}

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Example Question #41 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

This year, Hannah grew \displaystyle \frac{6}{9} of an inch, and her brother, Joe, grew \displaystyle \frac{8}{9} of an inch. How much more did Joe grow than Hannah?

 

Possible Answers:

\displaystyle \frac{4}{9}

\displaystyle \frac{3}{9}

\displaystyle \frac{2}{9}

\displaystyle \frac{5}{9}

\displaystyle \frac{6}{9}

Correct answer:

\displaystyle \frac{2}{9}

Explanation:

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

\displaystyle \frac{8}{9}-\frac{6}{9}=\frac{2}{9}


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Example Question #42 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

This year, Alison grew \displaystyle \frac{1}{9} of an inch, and her brother, Matthew, grew \displaystyle \frac{8}{9} of an inch. How much more did Matthew grow than Alison?

 

Possible Answers:

\displaystyle \frac{4}{9}

\displaystyle \frac{7}{9}

\displaystyle \frac{5}{9}

\displaystyle \frac{8}{9}

\displaystyle \frac{6}{9}

Correct answer:

\displaystyle \frac{7}{9}

Explanation:

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

\displaystyle \frac{8}{9}-\frac{1}{9}=\frac{7}{9}

 

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