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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 #4 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

$\frac{1}{10}$

$\frac{3}{15}$

$\frac{1}{50}$

Correct answer:

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 .

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

$\frac{10}{5}=2$ because can go into two times.

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Example Question #5 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

$4\frac{1}{3}$

$1\frac{1}{3}$

$3\frac{2}{3}$

Correct answer:

$3\frac{2}{3}$

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 .

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

$\frac{11}{3}=3\frac{2}{3}$ because can go into three times, and $\frac{2}{3}$ is left over.

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Example Question #6 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

$12\times\frac{3}{4}=$

Possible Answers:

$\frac{9}{12}$

$12\frac{3}{4}$

$\frac{2}{17}$

Correct answer:

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 .

$\frac{12}{1}\times\frac{3}{4}=\frac{36}{4}$

$\frac{36}{4}=9$ because can go into nine times.

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Example Question #7 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

$2\frac{1}{3}$

$2\frac{2}{3}$

$\frac{8}{24}$

Correct answer:

$2\frac{2}{3}$

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 .

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

$\frac{8}{3}=2\frac{2}{3}$ because can go into two times, and $\frac{2}{3}$ is left over.

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Example Question #8 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

$7\times\frac{3}{8}=$

Possible Answers:

$2\frac{5}{8}$

$\frac{21}{56}$

$7\frac{3}{8}$

Correct answer:

$2\frac{5}{8}$

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 .

$\frac{7}{1}\times\frac{3}{8}=\frac{21}{8}$

$\frac{21}{8}=2\frac{5}{8}$ because can go into two times, and $\frac{5}{8}$ is left over.

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Example Question #9 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

$3\frac{1}{2}$

$\frac{2}{18}$

$6\frac{2}{3}$

Correct answer:

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 .

$\frac{6}{1}\times\frac{2}{3}=\frac{12}{3}$

$\frac{12}{3}=4$ because can go into four times.

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Example Question #10 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

$5\frac{1}{5}$

$\frac{1}{25}$

$\frac{1}{10}$

Correct answer:

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 .

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

$\frac{5}{5}=1$ because can go into one time.

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Example Question #121 : Number & Operations: Fractions

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

Possible Answers:

$\frac{4}{28}$

$4\frac{1}{7}$

$\frac{1}{28}$

$\frac{4}{7}$

Correct answer:

$\frac{4}{7}$

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 .

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

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Example Question #592 : Fractions

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

Possible Answers:

$1\frac{1}{5}$

$\frac{5}{6}$

$3\frac{1}{5}$

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 #612 : Fractions

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

Possible Answers:

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

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

$\frac{2}{3}$

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

$\frac{1}{3}$

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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All Common Core: 4th Grade Math Resources

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

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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 #4 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #5 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #6 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #7 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #8 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #9 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #10 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4