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Common Core: 4th Grade Math : 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

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 #141 : Build Fractions From Unit Fractions

Select the answer choice that is equal to the following:

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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Example Question #142 : Build Fractions From Unit Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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Example Question #231 : Number & Operations: Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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Example Question #2 : 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 $3\times\frac{3}{4}$ $\displaystyle 3\times\frac{3}{4}$

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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Example Question #3 : 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 $4\times\frac{3}{4}$ $\displaystyle 4\times\frac{3}{4}$

Possible Answers:

$9\times\frac{2}{4}$ $\displaystyle 9\times\frac{2}{4}$

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

$12\times\frac{1}{4}$ $\displaystyle 12\times\frac{1}{4}$

$11\times\frac{2}{4}$ $\displaystyle 11\times\frac{2}{4}$

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

Correct answer:

$12\times\frac{1}{4}$ $\displaystyle 12\times\frac{1}{4}$

Explanation:

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

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

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

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Example Question #152 : Build Fractions From Unit Fractions

Select the answer choice that is equal to $5\times\frac{3}{4}$ $\displaystyle 5\times\frac{3}{4}$

Possible Answers:

$14\times\frac{2}{4}$ $\displaystyle 14\times\frac{2}{4}$

$15\times\frac{2}{4}$ $\displaystyle 15\times\frac{2}{4}$

$12\times\frac{1}{4}$ $\displaystyle 12\times\frac{1}{4}$

$15\times\frac{1}{4}$ $\displaystyle 15\times\frac{1}{4}$

$12\times\frac{2}{4}$ $\displaystyle 12\times\frac{2}{4}$

Correct answer:

$15\times\frac{1}{4}$ $\displaystyle 15\times\frac{1}{4}$

Explanation:

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

$\frac{5}{1}\times\frac{3}{4}=\frac{15}{4}$ $\displaystyle \frac{5}{1}\times\frac{3}{4}=\frac{15}{4}$

$\frac{15}{1}\times\frac{1}{4}=\frac{15}{4}$ $\displaystyle \frac{15}{1}\times\frac{1}{4}=\frac{15}{4}$

Report an Error

Example Question #153 : Build Fractions From Unit Fractions

Select the answer choice that is equal to $3\times\frac{2}{6}$ $\displaystyle 3\times\frac{2}{6}$

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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Example Question #154 : Build Fractions From Unit Fractions

Select the answer choice that is equal to $4\times\frac{2}{6}$ $\displaystyle 4\times\frac{2}{6}$

Possible Answers:

$7\times\frac{2}{6}$ $\displaystyle 7\times\frac{2}{6}$

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

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

$9\times\frac{2}{6}$ $\displaystyle 9\times\frac{2}{6}$

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

Correct answer:

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

Explanation:

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

$\frac{4}{1}\times\frac{2}{6}=\frac{8}{6}$ $\displaystyle \frac{4}{1}\times\frac{2}{6}=\frac{8}{6}$

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

Report an Error

Example Question #2 : 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 $5\times\frac{2}{6}$ $\displaystyle 5\times\frac{2}{6}$

Possible Answers:

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

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

$11\times\frac{1}{6}$ $\displaystyle 11\times\frac{1}{6}$

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

$10\times\frac{2}{6}$ $\displaystyle 10\times\frac{2}{6}$

Correct answer:

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

Explanation:

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

$\frac{5}{1}\times\frac{2}{6}=\frac{10}{6}$ $\displaystyle \frac{5}{1}\times\frac{2}{6}=\frac{10}{6}$

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

Report an Error

Example Question #156 : Build Fractions From Unit Fractions

Select the answer choice that is equal to $3\times\frac{3}{6}$ $\displaystyle 3\times\frac{3}{6}$

Possible Answers:

$8\times\frac{2}{6}$ $\displaystyle 8\times\frac{2}{6}$

$7\times\frac{3}{6}$ $\displaystyle 7\times\frac{3}{6}$

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

$1\times\frac{4}{6}$ $\displaystyle 1\times\frac{4}{6}$

$9\times\frac{1}{6}$ $\displaystyle 9\times\frac{1}{6}$

Correct answer:

$9\times\frac{1}{6}$ $\displaystyle 9\times\frac{1}{6}$

Explanation:

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

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

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

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Common Core: 4th Grade Math : 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

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #141 : Build Fractions From Unit Fractions

Example Question #142 : Build Fractions From Unit Fractions

Example Question #231 : Number & Operations: Fractions

Example Question #2 : 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 #3 : 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 #152 : Build Fractions From Unit Fractions

Example Question #153 : Build Fractions From Unit Fractions

Example Question #154 : Build Fractions From Unit Fractions

Example Question #2 : 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 #156 : Build Fractions From Unit Fractions

All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : 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

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #141 : Build Fractions From Unit Fractions

Example Question #142 : Build Fractions From Unit Fractions

Example Question #231 : Number & Operations: Fractions

Example Question #2 : 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 #3 : 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 #152 : Build Fractions From Unit Fractions

Example Question #153 : Build Fractions From Unit Fractions

Example Question #154 : Build Fractions From Unit Fractions

Example Question #2 : 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 #156 : Build Fractions From Unit Fractions

All Common Core: 4th Grade Math Resources

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Example Question #231 : Number & Operations: Fractions