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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 #1241 : Ssat Middle Level Quantitative (Math)

Jessie has $\frac{1}{2}lb$ of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{4}{2}lb$

$\frac{1}{8}lb$

$\frac{1}{3}lb$

$\frac{1}{6}lb$

$\frac{1}{4}lb$

Correct answer:

$\frac{1}{8}lb$

Explanation:

We are splitting $\frac{1}{2}$ into equal groups, so we are dividing $\frac{1}{2}$ by .

To solve $\frac{1}{2}\div4$ we multiply by the reciprocal.

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

1 8

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Example Question #102 : Fractions

Melissa has $\frac{1}{2}lb$ of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{3}{2}lb$

$\frac{1}{5}lb$

$\frac{1}{12}lb$

$\frac{1}{6}lb$

$\frac{1}{3}lb$

Correct answer:

$\frac{1}{6}lb$

Explanation:

We are splitting $\frac{1}{2}$ into equal groups, so we are dividing $\frac{1}{2}$ by .

To solve $\frac{1}{2}\div3$ we multiply by the reciprocal.

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

1 6

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Example Question #14 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{6}lb$

$\frac{1}{9}lb$

$\frac{2}{9}lb$

$\frac{3}{9}lb$

$\frac{9}{3}lb$

Correct answer:

$\frac{1}{9}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div3$ we multiply by the reciprocal.

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

1 9

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Example Question #101 : How To Divide Fractions

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{2}{3}lb$

$\frac{1}{2}lb$

$\frac{1}{3}lb$

$\frac{1}{6}lb$

$\frac{3}{2}lb$

Correct answer:

$\frac{1}{6}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div2$ we multiply by the reciprocal.

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

1 6

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Example Question #16 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

David has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{7}lb$

$\frac{4}{2}lb$

$\frac{1}{9}lb$

$\frac{1}{12}lb$

$\frac{4}{3}lb$

Correct answer:

$\frac{1}{12}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div4$ we multiply by the reciprocal.

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

1 12

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Example Question #582 : Numbers And Operations

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{2}lb$

$\frac{6}3{}lb$

$\frac{3}{6}lb$

$\frac{1}{18}lb$

$\frac{1}8{}lb$

Correct answer:

$\frac{1}{18}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div6$ we multiply by the reciprocal.

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

1 18

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Example Question #18 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{24}lb$

$\frac{1}{30}lb$

$\frac{8}{3}lb$

$\frac{3}{37}lb$

$\frac{1}{8}lb$

Correct answer:

$\frac{1}{24}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div8$ we multiply by the reciprocal.

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

1 24

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Example Question #19 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Drew has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{9}lb$

$\frac{1}{18}lb$

$\frac{9}{3}lb$

$\frac{1}{27}lb$

$\frac{1}{42}lb$

Correct answer:

$\frac{1}{27}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div9$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{9}=\frac{1}{27}$

1 27

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Example Question #20 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{10}{3}lb$

$\frac{1}{42}lb$

$\frac{1}{10}lb$

$\frac{1}{35}lb$

$\frac{1}{30}lb$

Correct answer:

$\frac{1}{30}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div10$ we multiply by the reciprocal.

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

1 30

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Example Question #21 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

Possible Answers:

$\frac{1}{11}lb$

$\frac{1}{33}lb$

$\frac{11}{3}lb$

$\frac{3}{11}lb$

$\frac{1}{30}lb$

Correct answer:

$\frac{1}{33}lb$

Explanation:

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div11$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{11}=\frac{1}{33}$

1 33

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All Common Core: 5th Grade Math Resources

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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 #1241 : Ssat Middle Level Quantitative (Math)

Example Question #102 : Fractions

Example Question #14 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #101 : How To Divide Fractions

Example Question #16 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #582 : Numbers And Operations

Example Question #18 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #19 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #20 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #21 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

All Common Core: 5th Grade Math Resources

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