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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 #1181 : Numbers And Operations

$14\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ fourteen times.

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

Possible Answers:

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

$\frac{17}{12}=1\frac{5}{12}$

$\frac{18}{12}=1\frac{6}{12}$

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

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

Correct answer:

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

Explanation:

$14\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ fourteen times.

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

14 12 number line

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Example Question #191 : How To Multiply Fractions

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

Possible Answers:

$\frac{17}{12}=1\frac{5}{12}$

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

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

$\frac{18}{12}=1\frac{6}{12}$

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

Correct answer:

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

Explanation:

$15\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ fifteen times.

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

15 12 number line

Report an Error

Example Question #191 : How To Multiply Fractions

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

Possible Answers:

$\frac{18}{12}=1\frac{6}{12}$

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

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

$\frac{17}{12}=1\frac{5}{12}$

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

Correct answer:

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

Explanation:

$16\times\frac{1}{12}$ means the same thing as adding $\frac{1}{12}$ sixteen times.

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

16 12 number line

Report an Error

Example Question #141 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$15\times\frac{1}{10}$ means the same thing as adding $\frac{1}{10}$ fifteen times.

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

15 10 number line

Report an Error

Example Question #91 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

$14\times\frac{1}{10}$ means the same thing as adding $\frac{1}{10}$ fourteen times.

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

14 10 number line

Report an Error

Example Question #91 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

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

Possible Answers:

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

$\frac{1}{3}$

$\frac{2}{3}$

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

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

Correct answer:

$\frac{2}{3}$

Explanation:

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

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

2 3 number line

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Example Question #1292 : Numbers And Operations

Select the answer choice that is equal to the following:

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

Possible Answers:

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

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

$4\times\frac{2}{5}$

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

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

Correct answer:

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

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{3}{1}\times\frac{2}{5}=\frac{6}{5}$

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

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Example Question #1 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Select the answer choice that is equal to $4\times\frac{2}{5}$

Possible Answers:

$4\times\frac{4}{5}$

$6\times\frac{2}{5}$

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

$8\times\frac{2}{5}$

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

Correct answer:

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

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{4}{1}\times\frac{2}{5}=\frac{8}{5}$

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

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Example Question #1 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Select the answer choice that is equal to $5\times\frac{2}{5}$

Possible Answers:

$8\times\frac{2}{5}$

$10\times\frac{2}{5}$

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

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

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

Correct answer:

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

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{5}{1}\times\frac{2}{5}=\frac{10}{5}$

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

Report an Error

Example Question #1851 : Ssat Middle Level Quantitative (Math)

Select the answer choice that is equal to $3\times\frac{3}{4}$

Possible Answers:

$6\times\frac{3}{4}$

$4\times\frac{2}{4}$

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

$9\frac{2}{4}$

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

Correct answer:

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

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{3}{1}\times\frac{3}{4}=\frac{9}{4}$

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

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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 #1181 : Numbers And Operations

Example Question #191 : How To Multiply Fractions

Example Question #191 : How To Multiply Fractions

Example Question #141 : Build Fractions From Unit Fractions

Example Question #91 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #91 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #1292 : Numbers And Operations

Example Question #1 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Example Question #1 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Example Question #1851 : Ssat Middle Level Quantitative (Math)

All Common Core: 4th Grade Math Resources

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