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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 #21 : How To Multiply Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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

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

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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Example Question #23 : How To Multiply Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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

Possible Answers:

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

$\frac{4}{45}$ $\displaystyle \frac{4}{45}$

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

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

$\frac{9}{45}$ $\displaystyle \frac{9}{45}$

Correct answer:

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

Explanation:

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

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

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

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

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Example Question #3 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

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

Possible Answers:

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

$\frac{4}{7}$ $\displaystyle \frac{4}{7}$

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$

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

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

Correct answer:

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

Explanation:

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

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

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

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

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

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

Possible Answers:

$\frac{5}{30}$ $\displaystyle \frac{5}{30}$

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

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

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

Correct answer:

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

Explanation:

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

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

$\frac{9}{30}$ $\displaystyle \frac{9}{30}$ can be reduced by dividing both sides by $\displaystyle 3$

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

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

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

Possible Answers:

$\frac{1}{36}$ $\displaystyle \frac{1}{36}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

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

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

$\frac{9}{36}$ $\displaystyle \frac{9}{36}$

Correct answer:

$\frac{1}{36}$ $\displaystyle \frac{1}{36}$

Explanation:

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

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

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

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

Possible Answers:

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

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

$\frac{7}{24}$ $\displaystyle \frac{7}{24}$

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

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

Correct answer:

$\frac{7}{24}$ $\displaystyle \frac{7}{24}$

Explanation:

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

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

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Example Question #1 : Operations With Fractions And Whole Numbers

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

Possible Answers:

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

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

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

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

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

Correct answer:

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

Explanation:

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

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

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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 #21 : How To Multiply Fractions

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

Example Question #23 : How To Multiply Fractions

Example Question #1 : 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 #3 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

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

Example Question #1 : Operations With Fractions And Whole Numbers

All Common Core: 5th Grade Math Resources

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