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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 #41 : Fractions

$\small \frac{8}{9}\div2$

Possible Answers:

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

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

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

$\small \frac{2}{5}$

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

Correct answer:

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

Explanation:

$\small \frac{8}{9}\div2$

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.

$\small \frac{8}{9}\times\frac{1}{2}=\frac{8}{18}$

$\small \frac{8}{18}$ can be reduced by dividing both sides by $\small 2.$

$\small \frac{8}{18}\div\frac{2}{2}=\frac{4}{9}$

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Example Question #181 : Operations With Fractions And Whole Numbers

$\small \frac{5}{6}\div7$

Possible Answers:

$\small \frac{3}{17}$

$\small \frac{7}{38}$

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

$\small \frac{5}{42}$

$\small \frac{4}{43}$

Correct answer:

$\small \frac{5}{42}$

Explanation:

$\small \frac{5}{6}\div7$

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.

$\small \frac{5}{6}\times\frac{1}{7}=\frac{5}{42}$

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Example Question #182 : Operations With Fractions And Whole Numbers

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

Possible Answers:

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

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

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

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

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

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 #183 : Operations With Fractions And Whole Numbers

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

Possible Answers:

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

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

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

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

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

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 #3091 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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

Possible Answers:

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

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

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

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

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

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 #184 : Operations With Fractions And Whole Numbers

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

Possible Answers:

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

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

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

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

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

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 #21 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

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

Possible Answers:

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

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

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

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

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

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 #2051 : Numbers And Operations

Solve:

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

Possible Answers:

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

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

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

$1\frac{1}{}8$

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

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:

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

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

$1\frac{1}{4}$

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

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

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 #412 : Fractions

Solve:

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

Possible Answers:

$\frac{3}{4}$

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

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

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

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

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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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

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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 #41 : Fractions

Example Question #181 : Operations With Fractions And Whole Numbers

Example Question #182 : Operations With Fractions And Whole Numbers

Example Question #183 : Operations With Fractions And Whole Numbers

Example Question #3091 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #184 : Operations With Fractions And Whole Numbers

Example Question #21 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #2051 : Numbers And Operations

Example Question #2052 : Numbers And Operations

Example Question #412 : Fractions

All Common Core: 5th Grade Math Resources

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