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

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

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #81 : How To Multiply Fractions

$3\times\frac{2}{5}=$

Possible Answers:

$\frac{5}{6}$

$3\frac{1}{5}$

$1\frac{1}{5}$

Correct answer:

$1\frac{1}{5}$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .

$\frac{3}{1}\times\frac{2}{5}=\frac{6}{5}$

$\frac{6}{5}=1\frac{1}{5}$ because can go into one time, and $\frac{1}{5}$ is left over.

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Example Question #41 : Build Fractions From Unit Fractions

$3\times\frac{1}{3}$

Possible Answers:

$\frac{5}{3}=1\frac{2}{3}$

$\frac{1}{3}$

$\frac{4}{3}=1\frac{1}{3}$

$\frac{2}{3}$

$\frac{3}{3}=1$

Correct answer:

$\frac{3}{3}=1$

Explanation:

$3\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ three times.

On our number line, we can make jumps of $\frac{1}{3}$

3 3 number line

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Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$4\times\frac{1}{3}=$

Possible Answers:

$\frac{2}{3}$

$\frac{4}{3}=1\frac{1}{3}$

$\frac{6}{3}=2$

$\frac{5}{3}=1\frac{2}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{4}{3}=1\frac{1}{3}$

Explanation:

$4\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ four times.

On our number line, we can make jumps of $\frac{1}{3}$

4 3 number line

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Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$7\times\frac{1}{3}=$

Possible Answers:

$\frac{5}{3}=1\frac{2}{3}$

$\frac{6}{3}=2$

$\frac{2}{3}$

$\frac{7}{3}=2\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{7}{3}=2\frac{1}{3}$

Explanation:

$7\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ seven times.

On our number line, we can make jumps of $\frac{1}{3}$

7 3 number line

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Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$3\times\frac{1}{4}=$

Possible Answers:

$\frac{5}{4}=1\frac{1}{4}$

$\frac{6}{4}=1\frac{2}{4}$

$\frac{2}{4}$

$\frac{1}{4}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

$3\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ three times.

On our number line, we can make jumps of $\frac{1}{4}$

3 4 number line

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Example Question #4 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$5\times\frac{1}{4}=$

Possible Answers:

$\frac{3}{4}$

$\frac{5}{4}=1\frac{1}{4}$

$\frac{2}{4}$

$\frac{1}{4}$

$\frac{4}{4}=1$

Correct answer:

$\frac{5}{4}=1\frac{1}{4}$

Explanation:

$5\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ five times.

On our number line, we can make jumps of $\frac{1}{4}$

5 4 number line

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Example Question #6 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$8\times\frac{1}{4}=$

Possible Answers:

$\frac{9}{4}=2\frac{1}{4}$

$\frac{1}{4}$

$\frac{8}{4}=2$

$\frac{3}{4}$

$\frac{7}{4}=1\frac{3}{4}$

Correct answer:

$\frac{8}{4}=2$

Explanation:

$8\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ eight times.

On our number line, we can make jumps of $\frac{1}{4}$

8 4 number line

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Example Question #51 : Build Fractions From Unit Fractions

$6\times\frac{1}{5}=$

Possible Answers:

$\frac{3}{5}$

$\frac{6}{5}=1\frac{1}{5}$

$\frac{2}{5}$

$\frac{7}{5}=1\frac{2}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{6}{5}=1\frac{1}{5}$

Explanation:

$6\times\frac{1}{5}$ means the same thing as adding $\frac{1}{5}$ six times.

On our number line, we can make jumps of $\frac{1}{5}$

6 5 number line

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Example Question #8 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$9\times\frac{1}{5}=$

Possible Answers:

$\frac{9}{5}=1\frac{4}{5}$

$\frac{10}{5}=2$

$\frac{3}{5}$

$\frac{8}{5}=1\frac{3}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{9}{5}=1\frac{4}{5}$

Explanation:

$9\times\frac{1}{5}$ means the same thing as adding $\frac{1}{5}$ nine times.

On our number line, we can make jumps of $\frac{1}{5}$

9 5 number line

Report an Error

Example Question #9 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$11\times\frac{1}{5}=$

Possible Answers:

$\frac{9}{5}=1\frac{4}{5}$

$\frac{11}{5}=2\frac{1}{5}$

$\frac{4}{5}$

$\frac{10}{5}=2$

$\frac{1}{5}$

Correct answer:

$\frac{11}{5}=2\frac{1}{5}$

Explanation:

$11\times\frac{1}{5}$ means the same thing as adding $\frac{1}{5}$ eleven times.

On our number line, we can make jumps of $\frac{1}{5}$

11 5 number line

Report an Error

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All Common Core: 4th Grade Math Resources

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

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #81 : How To Multiply Fractions

Example Question #41 : Build Fractions From Unit Fractions

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #4 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #6 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #51 : Build Fractions From Unit Fractions

Example Question #8 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #9 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Number & Operations: Fractions

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #81 : How To Multiply Fractions

Example Question #41 : Build Fractions From Unit Fractions

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #4 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #6 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #51 : Build Fractions From Unit Fractions

Example Question #8 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #9 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

All Common Core: 4th Grade Math Resources

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