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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 #86 : Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #87 : Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #88 : Fractions

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

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #89 : Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #90 : Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #91 : How To Divide Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #162 : How To Divide Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #172 : Fractions

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

Possible Answers:

Correct answer:

Explanation:

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

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

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

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Example Question #51 : How To Add Fractions

$\frac{1}{4}+\frac{1}{2}$

Possible Answers:

$\frac{1}{3}$

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{2}{4}$

$\frac{2}{6}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\frac{1}{4}+\frac{1}{2}$

In order to solve this problem, we first have to find common denominators.

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

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{1}{4}+\frac{2}{4}=\frac{3}{4}$

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Example Question #52 : How To Add Fractions

$\frac{1}{5}+\frac{1}{2}$

Possible Answers:

$\frac{2}{7}$

$\frac{7}{10}$

$\frac{8}{10}$

$\frac{1}{7}$

$\frac{7}{20}$

Correct answer:

$\frac{7}{10}$

Explanation:

$\frac{1}{5}+\frac{1}{2}$

In order to solve this problem, we first have to find common denominators.

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

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

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{2}{10}+\frac{5}{10}=\frac{7}{10}$

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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 #86 : Fractions

Example Question #87 : Fractions

Example Question #88 : Fractions

Example Question #89 : Fractions

Example Question #90 : Fractions

Example Question #91 : How To Divide Fractions

Example Question #162 : How To Divide Fractions

Example Question #172 : Fractions

Example Question #51 : How To Add Fractions

Example Question #52 : How To Add Fractions

All Common Core: 5th Grade Math Resources

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