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

Sally 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:

$\frac{1}{9}lb$

$\frac{1}{26}lb$

$\frac{1}{13}lb$

$\frac{1}{3}lb$

$\frac{13}{2}lb$

Correct answer:

$\frac{1}{26}lb$

Explanation:

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

To solve $\frac{1}{2}\div13$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{13}=\frac{1}{26}$

1 26

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Example Question #1 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

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:

$\frac{1}{8}lb$

$\frac{2}{1}lb$

$\frac{4}{2}lb$

$\frac{1}{4}lb$

$\frac{1}{3}lb$

Correct answer:

$\frac{1}{4}lb$

Explanation:

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

To solve $\frac{1}{2}\div2$ we multiply by the reciprocal.

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

1 4

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Example Question #2 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

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:

$\frac{2}{12}lb$

$\frac{1}{12}lb$

$\frac{12}{2}lb$

$\frac{1}{9}lb$

$\frac{1}{24}lb$

Correct answer:

$\frac{1}{24}lb$

Explanation:

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

To solve $\frac{1}{2}\div12$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{12}=\frac{1}{24}$

1 24

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Example Question #1231 : Ssat Middle Level Quantitative (Math)

Erica 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:

$\frac{1}{11}lb$

$\frac{1}{9}lb$

$\frac{1}{12}lb$

$\frac{11}{}2lb$

$\frac{1}{22}lb$

Correct answer:

$\frac{1}{22}lb$

Explanation:

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

To solve $\frac{1}{2}\div11$ we multiply by the reciprocal.

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

1 22

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Example Question #1233 : Ssat Middle Level Quantitative (Math)

Sally 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:

$\frac{10}{2}lb$

$\frac{1}{20}lb$

$\frac{1}{4}lb$

$\frac{2}{10}lb$

$\frac{1}{10}lb$

Correct answer:

$\frac{1}{20}lb$

Explanation:

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

To solve $\frac{1}{2}\div10$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{10}=\frac{1}{20}$

1 20

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Example Question #96 : 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:

$\frac{1}{18}lb$

$\frac{1}{12}lb$

$\frac{1}{9}lb$

$\frac{9}{8}lb$

$\frac{18}{2}lb$

Correct answer:

$\frac{1}{18}lb$

Explanation:

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

To solve $\frac{1}{2}\div9$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{9}=\frac{1}{18}$

1 18

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Example Question #1241 : Ssat Middle Level Quantitative (Math)

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:

$\frac{1}{7}lb$

$\frac{1}{9}lb$

$\frac{1}{6}lb$

$\frac{1}{16}lb$

$\frac{16}{2}lb$

Correct answer:

$\frac{1}{16}lb$

Explanation:

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

To solve $\frac{1}{2}\div8$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{8}=\frac{1}{16}$

1 16

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Example Question #2 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Christine 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:

$\frac{8}{7}lb$

$\frac{1}{4}lb$

$\frac{1}{14}lb$

$\frac{2}{7}lb$

$\frac{14}{2}lb$

Correct answer:

$\frac{1}{14}lb$

Explanation:

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

To solve $\frac{1}{2}\div7$ we multiply by the reciprocal.

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

1 14

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Example Question #98 : 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:

$\frac{6}{2}lb$

$\frac{1}{6}lb$

$\frac{1}{12}lb$

$\frac{1}{3}lb$

$\frac{4}{3}lb$

Correct answer:

$\frac{1}{12}lb$

Explanation:

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

To solve $\frac{1}{2}\div6$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$

1 12

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Example Question #99 : Fractions

Erica 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:

$\frac{5}{2}lb$

$\frac{1}{10}lb$

$\frac{1}{5}lb$

$\frac{1}{7}lb$

$\frac{4}{3}lb$

Correct answer:

$\frac{1}{10}lb$

Explanation:

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

To solve $\frac{1}{2}\div5$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{5}=\frac{1}{10}$

1 10

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

Example Question #1 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #2 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #1231 : Ssat Middle Level Quantitative (Math)

Example Question #1233 : Ssat Middle Level Quantitative (Math)

Example Question #96 : Fractions

Example Question #1241 : Ssat Middle Level Quantitative (Math)

Example Question #2 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #98 : Fractions

Example Question #99 : Fractions

All Common Core: 5th Grade Math Resources

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