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Common Core: 5th Grade Math : Multiply a Fraction or Whole Number by a Fraction: CCSS.Math.Content.5.NF.B.4

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

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Example Questions

Example Question #5 : Operations With Fractions And Whole Numbers

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

Possible Answers:

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{1}{12}$

$\frac{2}{12}$

$\frac{1}{4}$

Correct answer:

$\frac{1}{12}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

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

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Example Question #11 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{3}{4}\times\frac{5}{6}$

Possible Answers:

$\frac{7}{8}$

$\frac{3}{17}$

$\frac{1}5{}$

$\frac{5}{8}$

$\frac{3}{11}$

Correct answer:

$\frac{5}{8}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{3}{4}\times\frac{5}{6}=\frac{15}{24}$

$\frac{15}{24}$ can be reduced by dividing both sides by .

$\frac{15}{24}\div\frac{3}{3}=\frac{5}{8}$

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Example Question #12 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{2}{8}\times\frac{5}{10}$

Possible Answers:

$\frac{2}3{}$

$\frac{2}7{}$

$\frac{12}{80}$

$\frac{4}{9}$

$\frac{1}8{}$

Correct answer:

$\frac{1}8{}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{2}{8}\times\frac{5}{10}=\frac{10}{80}$

$\frac{10}{80}$ can be reduced by dividing each side by

$\frac{10}{80}\div\frac{10}{10}=\frac{1}{8}$

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Example Question #13 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{5}{6}\times\frac{3}{7}$

Possible Answers:

$\frac{15}{42}$

$\frac{7}{12}$

$\frac{1}3{}$

$\frac{13}{35}$

$\frac{15}{47}$

Correct answer:

$\frac{15}{42}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{5}{6}\times\frac{3}{7}=\frac{15}{42}$

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Example Question #14 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{3}{9}\times\frac{4}{5}$

Possible Answers:

$\frac{18}{49}$

$\frac{9}{11}$

$\frac{12}{45}$

$\frac{1}3{}$

$\frac{5}{6}$

Correct answer:

$\frac{12}{45}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{3}{9}\times\frac{4}{5}=\frac{12}{45}$

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Example Question #15 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

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

Possible Answers:

$\frac{3}6{}$

$\frac{5}6{}$

$\frac{2}3{}$

$\frac{1}9{}$

$\frac{2}9{}$

Correct answer:

$\frac{2}9{}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{2}{}3}\times\frac{1}{3}=\frac{2}{9}$

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Example Question #16 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small 5\times \frac{1}{2}$

Possible Answers:

$\small \frac{1}{5}$

$\small \frac{2}{5}$

$\small \frac{3}{2}$

$\small \frac{3}{4}$

$\small \frac{5}{2}$

Correct answer:

$\small \frac{5}{2}$

Explanation:

$\small 5\times \frac{1}{2}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ The we multiply like normal.

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

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Example Question #17 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small 3\times\frac{1}{4}$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{3}{4}$

$\small \frac{4}{3}$

$\small \frac{1}{12}$

$\small \frac{1}{5}$

Correct answer:

$\small \frac{3}{4}$

Explanation:

$\small 3\times\frac{1}{4}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

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

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Example Question #18 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small 6\times\frac{3}{5}$

Possible Answers:

$\small \frac{24}{5}$

$\small \frac{1}{3}$

$\small \frac{18}{6}$

$\small \frac{4}{3}$

$\small \frac{18}{5}$

Correct answer:

$\small \frac{18}{5}$

Explanation:

$\small 6\times\frac{3}{5}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \small \frac{6}{1}\times\frac{3}{5}=\frac{18}{5}$

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Example Question #19 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Solve the following:

$\small \frac{3}{4}\times3$

Possible Answers:

$\small \frac{9}{4}$

$\small \frac{4}{9}$

$\small \frac{3}{4}$

$\small \frac{1}{2}$

$\small \frac{1}{3}$

Correct answer:

$\small \frac{9}{4}$

Explanation:

$\small \frac{3}{4}\times3$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

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

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Common Core: 5th Grade Math : Multiply a Fraction or Whole Number by a Fraction: CCSS.Math.Content.5.NF.B.4

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #5 : Operations With Fractions And Whole Numbers

Example Question #11 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #12 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #13 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #14 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #15 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #16 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #17 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #18 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #19 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

All Common Core: 5th Grade Math Resources

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