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Common Core: 5th Grade Math : Common Core Math: Grade 5

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 #651 : Numbers And Operations

$\small 10$ people are sharing a $\small 73$ -pound bag of peanuts. If the peanuts are distributed evenly, how many pounds of peanuts will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 5$ and $\small 6$

$\small 8$ and $\small 9$

$\small 4$ and $\small 5$

$\small 6$ and $\small 7$

$\small 7$ and $\small 8$

Correct answer:

$\small 7$ and $\small 8$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{73}{10}=7\frac{3}{10}$

$\small 10$ can go into $\small 73$ only $\small 7$ times with $\small \frac{3}{10}$ left over.

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

$\frac{3}{7}\times 7=$

Possible Answers:

$\frac{1}{7}$

$\frac{10}{7}$

Correct answer:

Explanation:

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Example Question #1012 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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

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:

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

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

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

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

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

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 #1021 : Numbers And Operations

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

Possible Answers:

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

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

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

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

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

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 #3 : 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:

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

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

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

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

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

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 #6 : 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:

$\frac{1}{15}$

$\frac{9}{45}$

$\frac{4}{45}$

$\frac{1}{5}$

$\frac{2}{3}$

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:

$\frac{3}{5}$

$\frac{4}{7}$

$\frac{5}{7}$

$\frac{1}{7}$

$\frac{2}{3}$

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

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

Possible Answers:

$\frac{3}{10}$

$\frac{5}{30}$

$\frac{1}{3}$

$\frac{2}{7}$

$\frac{1}{2}$

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

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

Possible Answers:

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{9}{36}$

$\frac{1}{2}$

$\frac{1}{36}$

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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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Common Core Math: Grade 5

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #651 : Numbers And Operations

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

Example Question #1012 : Numbers And Operations

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

Example Question #1021 : Numbers And Operations

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

Example Question #8 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #9 : 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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