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Common Core: 5th Grade Math : Number & Operations with Fractions

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

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Operations With Fractions And Whole Numbers

$\small \frac{6}{7}\times\frac{1}{2}$

Possible Answers:

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

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

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

$\small \frac{2}{7}$

$\small \frac{3}{7}$

Correct answer:

$\small \frac{3}{7}$

Explanation:

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

$\small \small \frac{6}{7}\times\frac{1}{2}=\frac{6}{14}$

$\small \frac{6}{14}$ can be reduced by dividing both sides by $\small 2$

$\small \small \frac{6}{14}\div\frac{2}{2}=\frac{3}{7}$

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Example Question #1 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\small \frac{1}{2}\times\frac{5}{11}$

Possible Answers:

$\small \frac{5}{22}$

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

$\small \frac{5}{7}$

$\small \frac{6}{11}$

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

Correct answer:

$\small \frac{5}{22}$

Explanation:

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

$\small \small \frac{1}{2}\times\frac{5}{11}=\frac{5}{22}$

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Example Question #2 : Operations With Fractions And Whole Numbers

$\small \frac{2}{3}\times\frac{5}{7}$

Possible Answers:

$\small \frac{7}{21}$

$\small \frac{1}{9}$

$\small \frac{3}{11}$

$\small \frac{10}{21}$

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

Correct answer:

$\small \frac{10}{21}$

Explanation:

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

$\small \small \frac{2}{3}\times\frac{5}{7}=\frac{10}{21}$

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

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

Possible Answers:

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

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

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

$\small \frac{9}{16}$

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

Correct answer:

$\small \frac{9}{16}$

Explanation:

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

$\small \small \frac{3}{4}\times\frac{3}{4}=\frac{9}{16}$

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Example Question #2 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{1}{5}\times\frac{3}{9}$

Possible Answers:

$\frac{2}{3}$

$\frac{1}{15}$

$\frac{9}{45}$

$\frac{4}{45}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{15}$

Explanation:

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

$\frac{1}{5}\times\frac{3}{9}=\frac{3}{45}$

$\frac{3}{45}$ can be reduced by dividing both sides by

$\frac{3}{45}\div\frac{3}{3}=\frac{1}{15}$

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

$\frac{2}{7}\times\frac{1}{2}$

Possible Answers:

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{5}{7}$

$\frac{4}{7}$

$\frac{1}{7}$

Correct answer:

$\frac{1}{7}$

Explanation:

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

$\frac{2}{7}\times\frac{1}{2}=\frac{2}{14}$

$\frac{2}{14}$ can be reduced by dividing both sides by

$\frac{2}{14}\div\frac{2}{2}=\frac{1}{7}$

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Example Question #1721 : Ssat Middle Level Quantitative (Math)

$\frac{9}{10}\times\frac{1}{3}$

Possible Answers:

$\frac{5}{30}$

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{2}{7}$

$\frac{3}{10}$

Correct answer:

$\frac{3}{10}$

Explanation:

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

$\frac{9}{10}\times\frac{1}{3}=\frac{9}{30}$

$\frac{9}{30}$ can be reduced by dividing both sides by

$\frac{9}{30}\div\frac{3}{3}=\frac{3}{10}$

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Example Question #1 : Operations With Fractions And Whole Numbers

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

Possible Answers:

$\frac{1}{3}$

$\frac{9}{36}$

$\frac{1}{36}$

$\frac{1}{2}$

$\frac{2}{3}$

Correct answer:

$\frac{1}{36}$

Explanation:

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

$\frac{1}{9}\times\frac{1}{4}=\frac{1}{36}$

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Example Question #6 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

$\frac{7}{8}\times\frac{1}{3}$

Possible Answers:

$\frac{1}{7}$

$\frac{3}{4}$

$\frac{7}{24}$

$\frac{2}{7}$

$\frac{1}{3}$

Correct answer:

$\frac{7}{24}$

Explanation:

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

$\frac{7}{8}\times\frac{1}{3}=\frac{7}{24}$

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Example Question #4 : Operations With Fractions And Whole Numbers

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

Possible Answers:

$\frac{1}{12}$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{2}{12}$

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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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 5th Grade Math : Number & Operations with Fractions

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #1 : Operations With Fractions And Whole Numbers

Example Question #1 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #2 : Operations With Fractions And Whole Numbers

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

Example Question #2 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

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

Example Question #1721 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Operations With Fractions And Whole Numbers

Example Question #6 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #4 : Operations With Fractions And Whole Numbers

All Common Core: 5th Grade Math Resources

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