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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 #111 : Fractions

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:

$\frac{1}{12}lb$

$\frac{3}{12}lb$

$\frac{12}{3}lb$

$\frac{1}{36}lb$

$\frac{1}{48}lb$

Correct answer:

$\frac{1}{36}lb$

Explanation:

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

To solve $\frac{1}{3}\div12$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{12}=\frac{1}{36}$

1 36

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Example Question #593 : 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:

$\frac{1}{13}lb$

$\frac{1}{29}lb$

$\frac{13}{3}lb$

$\frac{1}{40}lb$

$\frac{1}{39}lb$

Correct answer:

$\frac{1}{39}lb$

Explanation:

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

To solve $\frac{1}{3}\div13$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{13}=\frac{1}{39}$

1 39

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Example Question #22 : 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:

$\frac{7}{2}lb$

$\frac{1}{28}lb$

$\frac{7}{3}lb$

$\frac{1}{7}lb$

$\frac{1}{21}lb$

Correct answer:

$\frac{1}{21}lb$

Explanation:

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

To solve $\frac{1}{3}\div7$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{7}=\frac{1}{21}$

1 21

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Example Question #571 : Number & Operations With Fractions

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:

$\frac{1}{5}lb$

$\frac{8}{3}lb$

$\frac{3}{8}lb$

$\frac{1}{15}lb$

$\frac{5}{3}lb$

Correct answer:

$\frac{1}{15}lb$

Explanation:

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

To solve $\frac{1}{3}\div5$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{5}=\frac{1}{15}$

1 15

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

Three girls divide half of a bag of popcorn equally so that all three of them get the same amount of popcorn. How much popcorn does each girl get?

Possible Answers:

$\frac{1}{6}\ of\ the\ bag$

$\frac{1}{4}\ of\ the\ bag$

$\frac{1}{2}\ of\ the\ bag$

$\frac{2}{5}\ of\ the\ bag$

$\frac{1}{3}\ of\ the\ bag$

Correct answer:

$\frac{1}{6}\ of\ the\ bag$

Explanation:

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Example Question #591 : Numbers And Operations

Megan has gallons of milk. Each glass holds $\frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{4}$ s are in wholes?

To solve $13\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{13}{1}\times\frac{4}{1}=\frac{52}{1}=52$

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Example Question #572 : Number & Operations With Fractions

Kalea has gallons of milk. Each glass holds $\frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{4}$ s are in wholes?

To solve $12\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{12}{1}\times\frac{4}{1}=\frac{48}{1}=48$

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Example Question #3 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Laura has gallons of milk. Each glass holds $\frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{4}$ s are in wholes?

To solve $11\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{11}{1}\times\frac{4}{1}=\frac{44}{1}=44$

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Example Question #597 : Numbers And Operations

Kara has gallons of milk. Each glass holds $\frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{4}$ s are in wholes?

To solve $10\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{10}{1}\times\frac{4}{1}=\frac{40}{1}=40$

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Example Question #598 : Numbers And Operations

Katie has gallons of milk. Each glass holds $\frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{4}$ s are in wholes?

To solve $9\div\frac{1}{4}$ we multiply by the reciprocal

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

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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 #111 : Fractions

Example Question #593 : Numbers And Operations

Example Question #22 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #571 : Number & Operations With Fractions

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

Example Question #591 : Numbers And Operations

Example Question #572 : Number & Operations With Fractions

Example Question #3 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #597 : Numbers And Operations

Example Question #598 : Numbers And Operations

All Common Core: 5th Grade Math Resources

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