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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 #131 : Build Fractions From Unit Fractions

$10\times\frac{1}{12}=$

Possible Answers:

$\frac{8}{12}$

$\frac{11}{12}$

$\frac{12}{12}=1$

$\frac{10}{12}$

$\frac{9}{12}$

Correct answer:

$\frac{10}{12}$

Explanation:

$10\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ ten times.

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

10 12 number line

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Example Question #81 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

$\frac{7}{12}$

$\frac{13}{12}=1\frac{1}{12}$

$\frac{10}{12}$

$\frac{12}{12}=1$

$\frac{11}{12}$

Correct answer:

$\frac{12}{12}=1$

Explanation:

$12\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ twelve times.

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

12 12 number line

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Example Question #211 : Number & Operations: Fractions

$13\times\frac{1}{12}=$

Possible Answers:

$\frac{16}{12}=1\frac{4}{12}$

$\frac{13}{12}$

$\frac{15}{12}=1\frac{3}{12}$

$\frac{12}{12}=1$

$\frac{14}{12}=1\frac{2}{12}$

Correct answer:

$\frac{13}{12}$

Explanation:

$13\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ thirteen times.

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

13 12 number line

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Example Question #81 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$14\times\frac{1}{7}=$

Possible Answers:

$\frac{11}{7}=1\frac{4}{7}$

$\frac{14}{7}=2$

$\frac{12}{7}=1\frac{5}{7}$

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

$\frac{13}{7}=1\frac{6}{7}$

Correct answer:

$\frac{14}{7}=2$

Explanation:

$14\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ fourteen times.

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

14 7 number line

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Example Question #83 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$15\times\frac{1}{7}=$

Possible Answers:

$\frac{17}{7}=2\frac{3}{7}$

$\frac{19}{7}=2\frac{5}{7}$

$\frac{18}{7}=2\frac{4}{7}$

$\frac{16}{7}=2\frac{2}{7}$

$\frac{15}{7}=2\frac{1}{7}$

Correct answer:

$\frac{15}{7}=2\frac{1}{7}$

Explanation:

$15\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ fifteen times.

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

15 7 number line

Report an Error

Example Question #211 : Number & Operations: Fractions

$16\times\frac{1}{7}=$

Possible Answers:

$\frac{14}{7}=2$

$\frac{18}{7}=2\frac{4}{7}$

$\frac{17}{7}=2\frac{3}{7}$

$\frac{15}{7}=2\frac{1}{7}$

$\frac{16}{7}=2\frac{2}{7}$

Correct answer:

$\frac{16}{7}=2\frac{2}{7}$

Explanation:

$16\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ sixteen times.

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

16 7 number line

Report an Error

Example Question #181 : How To Multiply Fractions

$14\times\frac{1}{8}=$

Possible Answers:

$\frac{14}{8}=1\frac{6}{8}$

$\frac{13}{8}=1\frac{5}{8}$

$\frac{16}{8}=2$

$\frac{12}{8}=1\frac{4}{8}$

$\frac{15}{8}=1\frac{7}{8}$

Correct answer:

$\frac{14}{8}=1\frac{6}{8}$

Explanation:

$14\times\frac{1}{8}$ means the same thing as adding $\frac{1}{8}$ fourteen times.

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

14 8 number line

Report an Error

Example Question #701 : Fractions

$15\times\frac{1}{8}=$

Possible Answers:

$\frac{12}{8}=1\frac{4}{8}$

$\frac{13}{8}=1\frac{5}{8}$

$\frac{15}{8}=1\frac{7}{8}$

$\frac{11}{8}=1\frac{3}{8}$

$\frac{16}{8}=2$

Correct answer:

$\frac{15}{8}=1\frac{7}{8}$

Explanation:

$15\times\frac{1}{8}$ means the same thing as adding $\frac{1}{8}$ fifteen times.

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

15 8 number line

Report an Error

Example Question #221 : Number & Operations: Fractions

$16\times\frac{1}{8}=$

Possible Answers:

$\frac{13}{8}=1\frac{5}{8}$

$\frac{16}{8}=2$

$\frac{12}{8}=1\frac{4}{8}$

$\frac{11}{8}=1\frac{3}{8}$

$\frac{15}{8}=1\frac{7}{8}$

Correct answer:

$\frac{16}{8}=2$

Explanation:

$16\times\frac{1}{8}$ means the same thing as adding $\frac{1}{8}$ sixteen times.

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

16 8 number line

Report an Error

Example Question #221 : Number & Operations: Fractions

$16\times\frac{1}{10}=$

Possible Answers:

$\frac{14}{10}=1\frac{4}{10}$

$\frac{12}{10}=1\frac{2}{10}$

$\frac{13}{10}=1\frac{3}{10}$

$\frac{15}{10}=1\frac{5}{10}$

$\frac{16}{10}=1\frac{6}{10}$

Correct answer:

$\frac{16}{10}=1\frac{6}{10}$

Explanation:

$16\times\frac{1}{10}$ means the same thing as adding $\frac{1}{10}$ sixteen times.

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

16 10 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 #131 : Build Fractions From Unit Fractions

Example Question #81 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #211 : Number & Operations: Fractions

Example Question #81 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #83 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #211 : Number & Operations: Fractions