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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 #11 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 6$ cups of sugar?

Possible Answers:

$\displaystyle 42$

$\displaystyle 48$

$\displaystyle 30$

$\displaystyle 24$

$\displaystyle 36$

Correct answer:

$\displaystyle 36$

Explanation:

Because we want to know how many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 6$ cups, we are dividing $\displaystyle 6$ by $\frac{1}{6}$ $\displaystyle \frac{1}{6}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{6}{1}\times\frac{6}{1}=\frac{36}{1}=36$ $\displaystyle \frac{6}{1}\times\frac{6}{1}=\frac{36}{1}=36$

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Example Question #633 : Number & Operations With Fractions

How many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 7$ cups of sugar?

Possible Answers:

$\displaystyle 49$

$\displaystyle 30$

$\displaystyle 36$

$\displaystyle 42$

$\displaystyle 48$

Correct answer:

$\displaystyle 42$

Explanation:

Because we want to know how many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 7$ cups, we are dividing $\displaystyle 7$ by $\frac{1}{6}$ $\displaystyle \frac{1}{6}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{7}{1}\times\frac{6}{1}=\frac{42}{1}=42$ $\displaystyle \frac{7}{1}\times\frac{6}{1}=\frac{42}{1}=42$

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Example Question #17 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 8$ cups of sugar?

Possible Answers:

$\displaystyle 48$

$\displaystyle 42$

$\displaystyle 30$

$\displaystyle 36$

$\displaystyle 49$

Correct answer:

$\displaystyle 48$

Explanation:

Because we want to know how many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 8$ cups, we are dividing $\displaystyle 8$ by $\frac{1}{6}$ $\displaystyle \frac{1}{6}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{8}{1}\times\frac{6}{1}=\frac{48}{1}=48$ $\displaystyle \frac{8}{1}\times\frac{6}{1}=\frac{48}{1}=48$

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Example Question #12 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 9$ cups of sugar?

Possible Answers:

$\displaystyle 54$

$\displaystyle 36$

$\displaystyle 49$

$\displaystyle 30$

$\displaystyle 42$

Correct answer:

$\displaystyle 54$

Explanation:

Because we want to know how many $\frac{1}{6}\ cup$ $\displaystyle \frac{1}{6}\ cup$ servings are in $\displaystyle 9$ cups, we are dividing $\displaystyle 9$ by $\frac{1}{6}$ $\displaystyle \frac{1}{6}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{9}{1}\times\frac{6}{1}=\frac{54}{1}=54$ $\displaystyle \frac{9}{1}\times\frac{6}{1}=\frac{54}{1}=54$

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Example Question #12 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 6$ cups of sugar?

Because we want to know how many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 6$ cups,

Possible Answers:

$\displaystyle 48$

$\displaystyle 42$

$\displaystyle 49$

$\displaystyle 35$

$\displaystyle 24$

Correct answer:

$\displaystyle 42$

Explanation:

we are dividing $\displaystyle 6$ by $\frac{1}{7}$ $\displaystyle \frac{1}{7}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{6}{1}\times\frac{7}{1}=\frac{42}{1}=42$ $\displaystyle \frac{6}{1}\times\frac{7}{1}=\frac{42}{1}=42$

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Example Question #641 : Number & Operations With Fractions

How many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 7$ cups of sugar?

Possible Answers:

$\displaystyle 24$

$\displaystyle 35$

$\displaystyle 49$

$\displaystyle 30$

$\displaystyle 42$

Correct answer:

$\displaystyle 49$

Explanation:

Because we want to know how many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 7$ cups, we are dividing $\displaystyle 7$ by $\frac{1}{7}$ $\displaystyle \frac{1}{7}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{7}{1}\times\frac{7}{1}=\frac{49}{1}=49$ $\displaystyle \frac{7}{1}\times\frac{7}{1}=\frac{49}{1}=49$

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Example Question #82 : How To Divide Fractions

How many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 8$ cups of sugar?

Possible Answers:

$\displaystyle 56$

$\displaystyle 60$

$\displaystyle 64$

$\displaystyle 48$

$\displaystyle 42$

Correct answer:

$\displaystyle 56$

Explanation:

Because we want to know how many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 8$ cups, we are dividing $\displaystyle 8$ by $\frac{1}{7}$ $\displaystyle \frac{1}{7}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{7}{1}\times\frac{8}{1}=\frac{56}{1}=56$ $\displaystyle \frac{7}{1}\times\frac{8}{1}=\frac{56}{1}=56$

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Example Question #571 : Numbers And Operations

How many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 9$ cups of sugar?

Possible Answers:

$\displaystyle 63$

$\displaystyle 72$

$\displaystyle 64$

$\displaystyle 75$

$\displaystyle 81$

Correct answer:

$\displaystyle 63$

Explanation:

Because we want to know how many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 9$ cups, we are dividing $\displaystyle 9$ by $\frac{1}{7}$ $\displaystyle \frac{1}{7}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{9}{1}\times\frac{7}{1}=\frac{63}{1}=63$ $\displaystyle \frac{9}{1}\times\frac{7}{1}=\frac{63}{1}=63$

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Example Question #21 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{4}\textup{ cup}$ $\displaystyle \frac{1}{4}\textup{ cup}$ servings are in $\displaystyle 3$ cups of chocolate chips?

Possible Answers:

$\displaystyle 12$

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 9$

$\displaystyle 1$

Correct answer:

$\displaystyle 12$

Explanation:

Because we want to know how many $\frac{1}{4}\textup{ cup}$ $\displaystyle \frac{1}{4}\textup{ cup}$ servings are in $\displaystyle 3$ cups, we are dividing $\displaystyle 3$ by $\frac{1}{4}$ $\displaystyle \frac{1}{4}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

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

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Example Question #176 : Fractions

How many $\frac{1}{3}\textup{ cup}$ $\displaystyle \frac{1}{3}\textup{ cup}$ servings are in five cups of chocolate chips?

Possible Answers:

$\displaystyle 20$

$\displaystyle 5$

$\displaystyle 25$

$\displaystyle 10$

$\displaystyle 15$

Correct answer:

$\displaystyle 15$

Explanation:

Because we want to know how many $\frac{1}{3}\textup{ cup}$ $\displaystyle \frac{1}{3}\textup{ cup}$ servings are in $\displaystyle 5$ cups, we are dividing $\displaystyle 5$ by $\frac{1}{3}$ $\displaystyle \frac{1}{3}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

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

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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 #11 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #633 : Number & Operations With Fractions

Example Question #17 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #12 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #12 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #641 : Number & Operations With Fractions

Example Question #82 : How To Divide Fractions

Example Question #571 : Numbers And Operations

Example Question #21 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #176 : Fractions

All Common Core: 5th Grade Math Resources

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