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Common Core: 5th Grade Math : Solve Division Word Problems with Fractions and Whole Numbers: CCSS.Math.Content.5.NF.B.7c

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

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Example Questions

Example Question #171 : Fractions

How many $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ cup servings are in $\displaystyle 6$ cups of chocolate chips?

Possible Answers:

$\displaystyle 18$

$\displaystyle 36$

$\displaystyle 12$

$\displaystyle 24$

$\displaystyle 6$

Correct answer:

$\displaystyle 12$

Explanation:

Because we want to know how many $\frac{1}{2}\ cup$ $\displaystyle \frac{1}{2}\ cup$ servings are in $\displaystyle 6$ cups, we are dividing $\displaystyle 6$ by $\frac{1}{2}$ $\displaystyle \frac{1}{2}$.

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

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

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Example Question #631 : Number & Operations With Fractions

How many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 6$ cups of sugar?

Possible Answers:

$\displaystyle 15$

$\displaystyle 25$

$\displaystyle 10$

$\displaystyle 20$

$\displaystyle 30$

Correct answer:

$\displaystyle 30$

Explanation:

Because we want to know how many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 6$ cups, we are dividing $\displaystyle 6$ by $\frac{1}{5}$ $\displaystyle \frac{1}{5}$.

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

$\frac{6}{1}\times\frac{5}{1}=\frac{30}{1}=30$ $\displaystyle \frac{6}{1}\times\frac{5}{1}=\frac{30}{1}=30$

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Example Question #81 : Fractions

How many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 7$ cups of sugar?

Possible Answers:

$\displaystyle 49$

$\displaystyle 40$

$\displaystyle 30$

$\displaystyle 42$

$\displaystyle 35$

Correct answer:

$\displaystyle 35$

Explanation:

Because we want to know how many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 7$ cups, we are dividing $\displaystyle 7$ by $\frac{1}{5}$ $\displaystyle \frac{1}{5}$.

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

$\frac{7}{1}\times\frac{5}{1}=\frac{35}{1}=35$ $\displaystyle \frac{7}{1}\times\frac{5}{1}=\frac{35}{1}=35$

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Example Question #82 : Fractions

How many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 8$ cups of sugar?

Possible Answers:

$\displaystyle 40$

$\displaystyle 20$

$\displaystyle 48$

$\displaystyle 24$

$\displaystyle 16$

Correct answer:

$\displaystyle 40$

Explanation:

Because we want to know how many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 8$ cups, we are dividing $\displaystyle 8$ by $\frac{1}{5}$ $\displaystyle \frac{1}{5}$.

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

$\frac{8}{1}\times\frac{5}{1}=\frac{40}{1}=40$ $\displaystyle \frac{8}{1}\times\frac{5}{1}=\frac{40}{1}=40$

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Example Question #83 : Fractions

How many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 9$ cups of sugar?

Possible Answers:

$\displaystyle 18$

$\displaystyle 45$

$\displaystyle 27$

$\displaystyle 40$

$\displaystyle 36$

Correct answer:

$\displaystyle 45$

Explanation:

Because we want to know how many $\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$ servings are in $\displaystyle 9$ cups, we are dividing $\displaystyle 9$ by $\frac{1}{5}$ $\displaystyle \frac{1}{5}$.

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

$\frac{9}{1}\times\frac{5}{1}=\frac{45}{1}=45$ $\displaystyle \frac{9}{1}\times\frac{5}{1}=\frac{45}{1}=45$

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Example Question #84 : Fractions

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

Possible Answers:

$\displaystyle 24$

$\displaystyle 30$

$\displaystyle 42$

$\displaystyle 48$

$\displaystyle 36$

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

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

Report an Error

Example Question #85 : Fractions

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

Possible Answers:

$\displaystyle 48$

$\displaystyle 30$

$\displaystyle 49$

$\displaystyle 36$

$\displaystyle 42$

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

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

Report an Error

Example Question #86 : Fractions

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

Possible Answers:

$\displaystyle 49$

$\displaystyle 42$

$\displaystyle 48$

$\displaystyle 30$

$\displaystyle 36$

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

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

Report an Error

Example Question #87 : Fractions

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

Possible Answers:

$\displaystyle 42$

$\displaystyle 49$

$\displaystyle 36$

$\displaystyle 54$

$\displaystyle 30$

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

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

Report an Error

Example Question #88 : Fractions

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:

$\displaystyle 49$

$\displaystyle 24$

$\displaystyle 48$

$\displaystyle 42$

$\displaystyle 35$

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

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

Report an Error

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Common Core: 5th Grade Math : Solve Division Word Problems with Fractions and Whole Numbers: CCSS.Math.Content.5.NF.B.7c

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #171 : Fractions

Example Question #631 : Number & Operations With Fractions

Example Question #81 : Fractions

Example Question #82 : Fractions

Example Question #83 : Fractions

Example Question #84 : Fractions

Example Question #85 : Fractions

Example Question #86 : Fractions

Example Question #87 : Fractions

Example Question #88 : Fractions

All Common Core: 5th Grade Math Resources

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