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Common Core: 4th Grade Math : Build fractions from unit 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 #143 : Number & Operations: Fractions

$9\times\frac{1}{6}=$ $\displaystyle 9\times\frac{1}{6}=$

Possible Answers:

$\frac{4}{6}$ $\displaystyle \frac{4}{6}$

$\frac{8}{6}=1\frac{2}{6}$ $\displaystyle \frac{8}{6}=1\frac{2}{6}$

$\frac{9}{6}=1\frac{3}{6}$ $\displaystyle \frac{9}{6}=1\frac{3}{6}$

$\frac{7}{6}=1\frac{1}{6}$ $\displaystyle \frac{7}{6}=1\frac{1}{6}$

$\frac{5}{6}$ $\displaystyle \frac{5}{6}$

Correct answer:

$\frac{9}{6}=1\frac{3}{6}$ $\displaystyle \frac{9}{6}=1\frac{3}{6}$

Explanation:

$9\times\frac{1}{6}$ $\displaystyle 9\times\frac{1}{6}$ means the same thing as adding $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ nine times.

On our number line, we can make $\displaystyle 9$ jumps of $\frac{1}{6}$ $\displaystyle \frac{1}{6}$

9 6 number line

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Example Question #141 : Number & Operations: Fractions

$5\times\frac{1}{3}=$ $\displaystyle 5\times\frac{1}{3}=$

Possible Answers:

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

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

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

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

Correct answer:

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

Explanation:

$5\times\frac{1}{3}$ $\displaystyle 5\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ five times.

On our number line, we can make $\displaystyle 5$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

5 3 number line

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Example Question #142 : Number & Operations: Fractions

$6\times\frac{1}{3}=$ $\displaystyle 6\times\frac{1}{3}=$

Possible Answers:

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

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

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

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

Correct answer:

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

Explanation:

$6\times\frac{1}{3}$ $\displaystyle 6\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ six times.

On our number line, we can make $\displaystyle 6$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

6 3 number line

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Example Question #143 : Number & Operations: Fractions

$8\times\frac{1}{3}=$ $\displaystyle 8\times\frac{1}{3}=$

Possible Answers:

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

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

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

$\frac{8}{3}=2\frac{2}{3}$ $\displaystyle \frac{8}{3}=2\frac{2}{3}$

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

Correct answer:

$\frac{8}{3}=2\frac{2}{3}$ $\displaystyle \frac{8}{3}=2\frac{2}{3}$

Explanation:

$8\times\frac{1}{3}$ $\displaystyle 8\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ eight times.

On our number line, we can make $\displaystyle 8$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

8 3 number line

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Example Question #144 : Number & Operations: Fractions

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

Possible Answers:

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

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

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

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

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

Correct answer:

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

Explanation:

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

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

4 4 number line

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Example Question #145 : Number & Operations: Fractions

$6\times\frac{1}{4}=$ $\displaystyle 6\times\frac{1}{4}=$

Possible Answers:

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

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

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

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

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

Correct answer:

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

Explanation:

$6\times\frac{1}{4}$ $\displaystyle 6\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ six times.

On our number line, we can make $\displaystyle 6$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

6 4 number line

Report an Error

Example Question #146 : Number & Operations: Fractions

$7\times\frac{1}{4}=$ $\displaystyle 7\times\frac{1}{4}=$

Possible Answers:

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

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

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

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

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

Correct answer:

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

Explanation:

$7\times\frac{1}{4}$ $\displaystyle 7\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ seven times.

On our number line, we can make $\displaystyle 7$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

7 4 number line

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Example Question #147 : Number & Operations: Fractions

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

Possible Answers:

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

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

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

Correct answer:

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

Explanation:

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

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

7 5 number line

Report an Error

Example Question #11 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$8\times\frac{1}{5}=$ $\displaystyle 8\times\frac{1}{5}=$

Possible Answers:

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

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

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

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

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$

Correct answer:

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

Explanation:

$8\times\frac{1}{5}$ $\displaystyle 8\times\frac{1}{5}$ means the same thing as adding $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ eight times.

On our number line, we can make $\displaystyle 8$ jumps of $\frac{1}{5}$ $\displaystyle \frac{1}{5}$

8 5 number line

Report an Error

Example Question #111 : How To Multiply Fractions

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

Possible Answers:

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

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

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$

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

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

Correct answer:

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

Explanation:

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

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

10 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 : Build fractions from unit fractions

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #143 : Number & Operations: Fractions

Example Question #141 : Number & Operations: Fractions

Example Question #142 : Number & Operations: Fractions

Example Question #143 : Number & Operations: Fractions

Example Question #144 : Number & Operations: Fractions

Example Question #145 : Number & Operations: Fractions

Example Question #146 : Number & Operations: Fractions

Example Question #147 : Number & Operations: Fractions

Example Question #11 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #111 : How To Multiply Fractions

All Common Core: 4th Grade Math Resources

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HIGH SCHOOL

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Common Core: 4th Grade Math : Build fractions from unit fractions

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #143 : Number & Operations: Fractions

Example Question #141 : Number & Operations: Fractions

Example Question #142 : Number & Operations: Fractions

Example Question #143 : Number & Operations: Fractions

Example Question #144 : Number & Operations: Fractions

Example Question #145 : Number & Operations: Fractions

Example Question #146 : Number & Operations: Fractions

Example Question #147 : Number & Operations: Fractions

Example Question #11 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #111 : How To Multiply Fractions

All Common Core: 4th Grade Math Resources

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DMCA Complaint

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Complaint Details

Example Question #143 : Number & Operations: Fractions

Example Question #141 : Number & Operations: Fractions

Example Question #142 : Number & Operations: Fractions

Example Question #143 : Number & Operations: Fractions

Example Question #144 : Number & Operations: Fractions

Example Question #145 : Number & Operations: Fractions

Example Question #146 : Number & Operations: Fractions

Example Question #147 : Number & Operations: Fractions