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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 #98 : Build Fractions From Unit Fractions

$5\times\frac{1}{7}=$ $\displaystyle 5\times\frac{1}{7}=$

Possible Answers:

$\frac{4}{7}$ $\displaystyle \frac{4}{7}$

$\frac{6}{7}$ $\displaystyle \frac{6}{7}$

$\frac{8}{7}=1\frac{1}{7}$ $\displaystyle \frac{8}{7}=1\frac{1}{7}$

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$

$\frac{7}{7}=1$ $\displaystyle \frac{7}{7}=1$

Correct answer:

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$

Explanation:

$5\times\frac{1}{7}$ $\displaystyle 5\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ $\displaystyle \frac{1}{7}$ five times.

On our number line, we can make $\displaystyle 5$ jumps of $\frac{1}{7}$ $\displaystyle \frac{1}{7}$

5 7 number line

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Example Question #51 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

$\frac{7}{7}=1$ $\displaystyle \frac{7}{7}=1$

$\frac{10}{7}=1\frac{3}{7}$ $\displaystyle \frac{10}{7}=1\frac{3}{7}$

$\frac{6}{7}$ $\displaystyle \frac{6}{7}$

$\frac{8}{7}=1\frac{1}{7}$ $\displaystyle \frac{8}{7}=1\frac{1}{7}$

$\frac{9}{7}=1\frac{2}{7}$ $\displaystyle \frac{9}{7}=1\frac{2}{7}$

Correct answer:

$\frac{7}{7}=1$ $\displaystyle \frac{7}{7}=1$

Explanation:

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

On our number line, we can make $\displaystyle 7$ jumps of $\frac{1}{7}$ $\displaystyle \frac{1}{7}$

7 7 number line

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Example Question #52 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$2\times\frac{1}{8}=$ $\displaystyle 2\times\frac{1}{8}=$

Possible Answers:

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$

$\frac{4}{8}$ $\displaystyle \frac{4}{8}$

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\frac{6}{8}$ $\displaystyle \frac{6}{8}$

Correct answer:

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$

Explanation:

$2\times\frac{1}{8}$ $\displaystyle 2\times\frac{1}{8}$ means the same thing as adding $\frac{1}{8}$ $\displaystyle \frac{1}{8}$ two times.

On our number line, we can make $\displaystyle 2$ jumps of $\frac{1}{8}$ $\displaystyle \frac{1}{8}$

2 8 number line

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Example Question #181 : Number & Operations: Fractions

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

Possible Answers:

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$

$\frac{4}{8}$ $\displaystyle \frac{4}{8}$

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Correct answer:

$\frac{4}{8}$ $\displaystyle \frac{4}{8}$

Explanation:

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

On our number line, we can make $\displaystyle 4$ jumps of $\frac{1}{8}$ $\displaystyle \frac{1}{8}$

4 8 number line

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Example Question #1141 : Numbers And Operations

$6\times\frac{1}{8}=$ $\displaystyle 6\times\frac{1}{8}=$

Possible Answers:

$\frac{9}{8}=1\frac{1}{8}$ $\displaystyle \frac{9}{8}=1\frac{1}{8}$

$\frac{6}{8}$ $\displaystyle \frac{6}{8}$

$\frac{10}{8}=1\frac{2}{8}$ $\displaystyle \frac{10}{8}=1\frac{2}{8}$

$\frac{7}{8}$ $\displaystyle \frac{7}{8}$

$\frac{8}{8}=1$ $\displaystyle \frac{8}{8}=1$

Correct answer:

$\frac{6}{8}$ $\displaystyle \frac{6}{8}$

Explanation:

$6\times\frac{1}{8}$ $\displaystyle 6\times\frac{1}{8}$ means the same thing as adding $\frac{1}{8}$ $\displaystyle \frac{1}{8}$ six times.

On our number line, we can make $\displaystyle 6$ jumps of $\frac{1}{8}$ $\displaystyle \frac{1}{8}$

6 8 number line

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Example Question #54 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$3\times\frac{1}{10}=$ $\displaystyle 3\times\frac{1}{10}=$

Possible Answers:

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\frac{4}{10}$ $\displaystyle \frac{4}{10}$

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$

Correct answer:

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

Explanation:

$3\times\frac{1}{10}$ $\displaystyle 3\times\frac{1}{10}$ means the same thing as adding $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ three times.

On our number line, we can make $\displaystyle 3$ jumps of $\frac{1}{10}$ $\displaystyle \frac{1}{10}$

3 10 number line

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Example Question #55 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$5\times\frac{1}{10}=$ $\displaystyle 5\times\frac{1}{10}=$

Possible Answers:

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$

$\frac{8}{10}$ $\displaystyle \frac{8}{10}$

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{9}{10}$ $\displaystyle \frac{9}{10}$

Correct answer:

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

Explanation:

$5\times\frac{1}{10}$ $\displaystyle 5\times\frac{1}{10}$ means the same thing as adding $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ five times.

On our number line, we can make $\displaystyle 5$ jumps of $\frac{1}{10}$ $\displaystyle \frac{1}{10}$

5 10 number line

Report an Error

Example Question #56 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$7\times\frac{1}{10}=$ $\displaystyle 7\times\frac{1}{10}=$

Possible Answers:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

$\frac{4}{10}$ $\displaystyle \frac{4}{10}$

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$

Correct answer:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

Explanation:

$7\times\frac{1}{10}$ $\displaystyle 7\times\frac{1}{10}$ means the same thing as adding $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ seven times.

On our number line, we can make $\displaystyle 7$ jumps of $\frac{1}{10}$ $\displaystyle \frac{1}{10}$

7 10 number line

Report an Error

Example Question #57 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$2\times\frac{1}{12}=$ $\displaystyle 2\times\frac{1}{12}=$

Possible Answers:

$\frac{4}{12}$ $\displaystyle \frac{4}{12}$

$\frac{1}{12}$ $\displaystyle \frac{1}{12}$

$\frac{2}{12}$ $\displaystyle \frac{2}{12}$

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$

$\frac{5}{12}$ $\displaystyle \frac{5}{12}$

Correct answer:

$\frac{2}{12}$ $\displaystyle \frac{2}{12}$

Explanation:

$2\times\frac{1}{12}$ $\displaystyle 2\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ two times.

On our number line, we can make $\displaystyle 2$ jumps of $\frac{1}{12}$ $\displaystyle \frac{1}{12}$

2 12 number line

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Example Question #58 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$4\times\frac{1}{12}=$ $\displaystyle 4\times\frac{1}{12}=$

Possible Answers:

$\frac{4}{12}$ $\displaystyle \frac{4}{12}$

$\frac{5}{12}$ $\displaystyle \frac{5}{12}$

$\frac{2}{12}$ $\displaystyle \frac{2}{12}$

$\frac{6}{12}$ $\displaystyle \frac{6}{12}$

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$

Correct answer:

$\frac{4}{12}$ $\displaystyle \frac{4}{12}$

Explanation:

$4\times\frac{1}{12}$ $\displaystyle 4\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ four times.

On our number line, we can make $\displaystyle 4$ jumps of $\frac{1}{12}$ $\displaystyle \frac{1}{12}$

4 12 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 #98 : Build Fractions From Unit Fractions

Example Question #51 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #52 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #181 : Number & Operations: Fractions

Example Question #1141 : Numbers And Operations

Example Question #54 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #55 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #56 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #57 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #58 : 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 #98 : Build Fractions From Unit Fractions

Example Question #51 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #52 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #181 : Number & Operations: Fractions

Example Question #1141 : Numbers And Operations

Example Question #54 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #55 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #56 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #57 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #58 : 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

Example Question #181 : Number & Operations: Fractions