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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 #412 : Fractions

Solve:

$\small \frac{7}{8}\div\frac{1}{4}$

Possible Answers:

$3\frac{1}{2}$

$\small \frac{32}{7}$

$\small \frac{7}{32}$

$\small \frac{8}{28}$

$\small \frac{9}{15}$

Correct answer:

$3\frac{1}{2}$

Explanation:

$\small \frac{7}{8}\div\frac{1}{4}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{7}{8}\times\frac{4}{1}=\frac{28}{8}$

$\frac{28}{8}=3\frac{4}{8}=3\frac{1}{2}$ because can go into three times, with left over.

$\frac{4}{8}$ can be reduced because both and are divisible by .

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

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

It takes one person half of a day to clean Milton's house. Milton's grandparents are coming to visit, so Milton's mom tells Milton and his three siblings that they need to clean the house. If the four kids split up the cleaning time equally, what fraction of the day does Milton spend cleaning?

Possible Answers:

$\frac{1}{2}\div 4=\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}\ of\ the\ day$

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

$\frac{1}{2}\div 3=\frac{1}{2}\times\frac{3}{1}=\frac{3}{2}\ of\ the\ day$

$\frac{1}{2}\div 3=\frac{1}{2}\times\frac{1}{3}=\frac{1}{6}\ of\ the\ day$

$\frac{1}{2}\div 4=\frac{1}{2}\times\frac{1}{4}=\frac{1}{6}\ of\ the\ day$

Correct answer:

$\frac{1}{2}\div 4=\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}\ of\ the\ day$

Explanation:

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Example Question #571 : Numbers And Operations

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:

$\frac{1}{13}lb$

$\frac{13}{2}lb$

$\frac{1}{3}lb$

$\frac{1}{26}lb$

$\frac{1}{9}lb$

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 #1402 : Common Core Math: Grade 5

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:

$\frac{2}{1}lb$

$\frac{1}{8}lb$

$\frac{4}{2}lb$

$\frac{1}{3}lb$

$\frac{1}{4}lb$

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 #1403 : Common Core Math: Grade 5

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:

$\frac{1}{12}lb$

$\frac{1}{24}lb$

$\frac{2}{12}lb$

$\frac{12}{2}lb$

$\frac{1}{9}lb$

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 #572 : Numbers And Operations

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:

$\frac{1}{9}lb$

$\frac{11}{}2lb$

$\frac{1}{11}lb$

$\frac{1}{22}lb$

$\frac{1}{12}lb$

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 #92 : Fractions

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:

$\frac{1}{4}lb$

$\frac{10}{2}lb$

$\frac{2}{10}lb$

$\frac{1}{20}lb$

$\frac{1}{10}lb$

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

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:

$\frac{1}{18}lb$

$\frac{1}{12}lb$

$\frac{1}{9}lb$

$\frac{18}{2}lb$

$\frac{9}{8}lb$

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

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:

$\frac{1}{16}lb$

$\frac{1}{7}lb$

$\frac{1}{6}lb$

$\frac{1}{9}lb$

$\frac{16}{2}lb$

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 #9 : 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:

$\frac{8}{7}lb$

$\frac{2}{7}lb$

$\frac{1}{14}lb$

$\frac{14}{2}lb$

$\frac{1}{4}lb$

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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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 #412 : Fractions

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

Example Question #571 : Numbers And Operations

Example Question #1402 : Common Core Math: Grade 5

Example Question #1403 : Common Core Math: Grade 5

Example Question #572 : Numbers And Operations

Example Question #92 : Fractions

Example Question #7 : 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 #9 : 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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