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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 #43 : Fractions

$\small \frac{3}{8}\div5$

Possible Answers:

$\small \frac{3}{40}$

$\small \frac{2}{17}$

$\small \frac{4}{39}$

$\small \frac{1}{8}$

$\small \frac{5}{19}$

Correct answer:

$\small \frac{3}{40}$

Explanation:

$\small \frac{3}{8}\div5$

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.

$\small \frac{3}{8}\times\frac{1}{5}=\frac{3}{40}$

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Example Question #44 : Fractions

$\small \frac{4}{5}\div3$

Possible Answers:

$\small \frac{4}{15}$

$\small \frac{9}{11}$

$\small \frac{5}{8}$

$\small \frac{2}{13}$

$\small \frac{12}{5}$

Correct answer:

$\small \frac{4}{15}$

Explanation:

$\small \frac{4}{5}\div3$

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.

$\small \frac{4}{5}\times\frac{1}{3}=\frac{4}{15}$

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Example Question #45 : Fractions

$\small \small \frac{1}{6}\div7$

Possible Answers:

$\small \frac{2}{42}$

$\small \frac{1}{49}$

$\small \frac{5}{37}$

$\small \frac{3}{29}$

$\small \frac{1}{42}$

Correct answer:

$\small \frac{1}{42}$

Explanation:

$\small \small \frac{1}{6}\div7$

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.

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

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Example Question #46 : Fractions

$\small \frac{3}{7}\div4$

Possible Answers:

$\small \frac{3}{28}$

$\small \frac{4}{27}$

$\small \frac{7}{12}$

$\small \frac{12}{7}$

$\small \frac{9}{31}$

Correct answer:

$\small \frac{3}{28}$

Explanation:

$\small \frac{3}{7}\div4$

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.

$\small \frac{3}{7}\times\frac{1}{4}=\frac{3}{28}$

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Example Question #47 : Fractions

$\small \frac{4}{9}\div5$

Possible Answers:

$\small \frac{9}{20}$

$\small \frac{5}{39}$

$\small \frac{20}9{}$

$\small \frac{4}{45}$

$\small \frac{7}{41}$

Correct answer:

$\small \frac{4}{45}$

Explanation:

$\small \frac{4}{9}\div5$

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.

$\small \frac{4}{9}\times\frac{1}{5}=\frac{4}{45}$

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Example Question #1304 : Ssat Middle Level Quantitative (Math)

Solve:

$\small \frac{3}{4}\div\frac{2}{3}$

Possible Answers:

$\small \frac{7}{8}$

$\small \frac{5}{6}$

$\small \frac{8}{7}$

$\small \frac{8}{9}$

$1\frac{1}{}8$

Correct answer:

$1\frac{1}{}8$

Explanation:

$\small \frac{3}{4}\div\frac{2}{3}$

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.

$\small \frac{3}{4}\times\frac{3}{2}=\frac{9}{8}$

$\frac{9}{8}=1\frac{1}{8}$ because can go into one time with left over.

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Example Question #2052 : Numbers And Operations

Solve:

$\small \frac{5}{8}\div\frac{1}{2}$

Possible Answers:

$\small \frac{5}{11}$

$\small \frac{3}{4}$

$\small \frac{8}{10}$

$\small \frac{4}{3}$

$1\frac{1}{4}$

Correct answer:

$1\frac{1}{4}$

Explanation:

$\small \frac{5}{8}\div\frac{1}{2}$

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.

$\small \frac{5}{8}\times\frac{2}{1}=\frac{10}{8}$

$\frac{10}{8}=1\frac{2}{8}=1\frac{1}{4}$ because can go into one time with left over.

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

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Example Question #541 : Number & Operations With Fractions

Solve:

$\small \frac{3}{12}\div\frac{1}{3}$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{3}{36}$

$\frac{3}{4}$

$\small \frac{12}9{}$

$\small \frac{36}{3}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\small \frac{3}{12}\div\frac{1}{3}$

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.

$\small \small \frac{3}{12}\times\frac{3}{1}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced because both and are divisible by

$\frac{9}{12}\div\frac{3}{3}=\frac{3}{4}$

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Example Question #542 : Number & Operations With Fractions

Solve:

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

Possible Answers:

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

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

$3\frac{1}{2}$

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

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

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:

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

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

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

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

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

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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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 #43 : Fractions

Example Question #44 : Fractions

Example Question #45 : Fractions

Example Question #46 : Fractions

Example Question #47 : Fractions

Example Question #1304 : Ssat Middle Level Quantitative (Math)

Example Question #2052 : Numbers And Operations

Example Question #541 : Number & Operations With Fractions

Example Question #542 : Number & Operations With Fractions

Example Question #1 : 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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