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Common Core: 4th Grade Math : Common Core Math: Grade 4

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

$11\times\frac{1}{8}=$ $\displaystyle 11\times\frac{1}{8}=$

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$11\times\frac{1}{8}$ $\displaystyle 11\times\frac{1}{8}$ means the same thing as adding $\frac{1}{8}$ $\displaystyle \frac{1}{8}$ eleven times.

On our number line, we can make $\displaystyle 11$ jumps of $\frac{1}{8}$ $\displaystyle \frac{1}{8}$

11 8 number line

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Example Question #161 : How To Multiply Fractions

$13\times\frac{1}{8}=$ $\displaystyle 13\times\frac{1}{8}=$

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$13\times\frac{1}{8}$ $\displaystyle 13\times\frac{1}{8}$ means the same thing as adding $\frac{1}{8}$ $\displaystyle \frac{1}{8}$ thirteen times.

On our number line, we can make $\displaystyle 13$ jumps of $\frac{1}{8}$ $\displaystyle \frac{1}{8}$

13 8 number line

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Example Question #113 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$8\times\frac{1}{10}$ $\displaystyle 8\times\frac{1}{10}$ means the same thing as adding $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ eight times.

On our number line, we can make $\displaystyle 8$ jumps of $\frac{1}{10}$ $\displaystyle \frac{1}{10}$

8 10 number line

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Example Question #111 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

$\frac{11}{10}=1\frac{1}{10}$ $\displaystyle \frac{11}{10}=1\frac{1}{10}$

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

Correct answer:

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

Explanation:

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

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

10 10 number line

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Example Question #66 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

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

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

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

$\frac{11}{12}=1\frac{1}{12}$ $\displaystyle \frac{11}{12}=1\frac{1}{12}$

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

Correct answer:

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

Explanation:

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

On our number line, we can make $\displaystyle 12$ jumps of $\frac{1}{10}$ $\displaystyle \frac{1}{10}$

12 10 number line

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Example Question #67 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$8\times\frac{1}{12}=$ $\displaystyle 8\times\frac{1}{12}=$

Possible Answers:

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

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

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

$\frac{8}{12}$ $\displaystyle \frac{8}{12}$

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

Correct answer:

$\frac{8}{12}$ $\displaystyle \frac{8}{12}$

Explanation:

$8\times\frac{1}{12}$ $\displaystyle 8\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ eight times.

On our number line, we can make $\displaystyle 8$ jumps of $\frac{1}{12}$ $\displaystyle \frac{1}{12}$

8 12 number line

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Example Question #71 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$9\times\frac{1}{12}=$ $\displaystyle 9\times\frac{1}{12}=$

Possible Answers:

$\frac{10}{12}$ $\displaystyle \frac{10}{12}$

$\frac{8}{12}$ $\displaystyle \frac{8}{12}$

$\frac{9}{12}$ $\displaystyle \frac{9}{12}$

$\frac{11}{12}$ $\displaystyle \frac{11}{12}$

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

Correct answer:

$\frac{9}{12}$ $\displaystyle \frac{9}{12}$

Explanation:

$9\times\frac{1}{12}$ $\displaystyle 9\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ nine times.

On our number line, we can make $\displaystyle 9$ jumps of $\frac{1}{12}$ $\displaystyle \frac{1}{12}$

9 12 number line

Report an Error

Example Question #161 : How To Multiply Fractions

$11\times\frac{1}{12}=$ $\displaystyle 11\times\frac{1}{12}=$

Possible Answers:

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

$\frac{9}{12}$ $\displaystyle \frac{9}{12}$

$\frac{8}{12}$ $\displaystyle \frac{8}{12}$

$\frac{10}{12}$ $\displaystyle \frac{10}{12}$

$\frac{11}{12}$ $\displaystyle \frac{11}{12}$

Correct answer:

$\frac{11}{12}$ $\displaystyle \frac{11}{12}$

Explanation:

$11\times\frac{1}{12}$ $\displaystyle 11\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ $\displaystyle \frac{1}{12}$ eleven times.

On our number line, we can make $\displaystyle 11$ jumps of $\frac{1}{12}$ $\displaystyle \frac{1}{12}$

11 12 number line

Report an Error

Example Question #73 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$9\times\frac{1}{7}$ $\displaystyle 9\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ $\displaystyle \frac{1}{7}$ nine times.

On our number line, we can make $\displaystyle 9$ jumps of $\frac{1}{7}$ $\displaystyle \frac{1}{7}$

9 7 number line

Report an Error

Example Question #71 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$11\times\frac{1}{7}=$ $\displaystyle 11\times\frac{1}{7}=$

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$11\times\frac{1}{7}$ $\displaystyle 11\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ $\displaystyle \frac{1}{7}$ eleven times.

On our number line, we can make $\displaystyle 11$ jumps of $\frac{1}{7}$ $\displaystyle \frac{1}{7}$

11 7 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 : Common Core Math: Grade 4

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #61 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #161 : How To Multiply Fractions

Example Question #113 : Build Fractions From Unit Fractions

Example Question #111 : Build Fractions From Unit Fractions

Example Question #66 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #67 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #71 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #161 : How To Multiply Fractions

Example Question #73 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #71 : 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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