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Common Core: 4th Grade Math : Understand a Fraction a/b as a Multiple of 1/b: CCSS.Math.Content.4.NF.B.4a

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 #1112 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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

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

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Example Question #1113 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$5\times\frac{1}{6}$ $\displaystyle 5\times\frac{1}{6}$ means the same thing as adding $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ five times.

On our number line, we can make $\displaystyle 5$ jumps of $\frac{1}{6}$ $\displaystyle \frac{1}{6}$

5 6 number line

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Example Question #151 : Number & Operations: Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

8 6 number line

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Example Question #1782 : Ssat Middle Level Quantitative (Math)

$10\times\frac{1}{6}=$ $\displaystyle 10\times\frac{1}{6}=$

Possible Answers:

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

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

$\frac{10}{6}=1\frac{4}{6}$ $\displaystyle \frac{10}{6}=1\frac{4}{6}$

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

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

Correct answer:

$\frac{10}{6}=1\frac{4}{6}$ $\displaystyle \frac{10}{6}=1\frac{4}{6}$

Explanation:

$10\times\frac{1}{6}$ $\displaystyle 10\times\frac{1}{6}$ means the same thing as adding $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ ten times.

On our number line, we can make $\displaystyle 10$ jumps of $\frac{1}{6}$ $\displaystyle \frac{1}{6}$

10 6 number line

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Example Question #1121 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$2\times\frac{1}{3}$ $\displaystyle 2\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ two times.

On our number line, we can make $\displaystyle 2$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

2 3 number line

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Example Question #1122 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$9\times\frac{1}{3}$ $\displaystyle 9\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ nine times.

On our number line, we can make $\displaystyle 9$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

9 3 number line

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Example Question #1123 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$7\times\frac{1}{3}$ $\displaystyle 7\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ seven times.

On our number line, we can make $\displaystyle 7$ jumps of $\frac{1}{3}$ $\displaystyle \frac{1}{3}$

7 3 number line

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Example Question #641 : Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$2\times\frac{1}{4}$ $\displaystyle 2\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ two times.

On our number line, we can make $\displaystyle 2$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

2 4 number line

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Example Question #1125 : Numbers And Operations

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

Possible Answers:

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

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

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

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

$\frac{10}{4}=2\frac{2}{4}$ $\displaystyle \frac{10}{4}=2\frac{2}{4}$

Correct answer:

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

Explanation:

$9\times\frac{1}{4}$ $\displaystyle 9\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ nine times.

On our number line, we can make $\displaystyle 9$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

9 4 number line

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Example Question #161 : Number & Operations: Fractions

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

Possible Answers:

$\frac{15}{4}=3\frac{3}{}4$ $\displaystyle \frac{15}{4}=3\frac{3}{}4$

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

$\frac{14}{4}=3\frac{2}{4}$ $\displaystyle \frac{14}{4}=3\frac{2}{4}$

$\frac{13}{4}=3\frac{1}{4}$ $\displaystyle \frac{13}{4}=3\frac{1}{4}$

$\frac{11}{4}=2\frac{3}{4}$ $\displaystyle \frac{11}{4}=2\frac{3}{4}$

Correct answer:

$\frac{11}{4}=2\frac{3}{4}$ $\displaystyle \frac{11}{4}=2\frac{3}{4}$

Explanation:

$11\times\frac{1}{4}$ $\displaystyle 11\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ eleven times.

On our number line, we can make $\displaystyle 11$ jumps of $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

11 4 number line

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Common Core: 4th Grade Math : Understand a Fraction a/b as a Multiple of 1/b: CCSS.Math.Content.4.NF.B.4a

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #1112 : Numbers And Operations

Example Question #1113 : Numbers And Operations

Example Question #151 : Number & Operations: Fractions

Example Question #1782 : Ssat Middle Level Quantitative (Math)

Example Question #1121 : Numbers And Operations

Example Question #1122 : Numbers And Operations