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

$\small \frac{5}{6}\div\frac{1}{3}$

Possible Answers:

$\small \frac{7}{2}$

$\small \frac{18}{5}$

$\small \frac{5}{18}$

$\small \frac{15}{6}$

$\small \frac{6}{15}$

Correct answer:

$\small \frac{15}{6}$

Explanation:

$\small \frac{5}{6}\div\frac{1}{3}$

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.

$\small \frac{5}{6}\times\frac{3}{1}=\frac{15}{6}$

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Example Question #6 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{4}{11}\div\frac{3}{1}$

Possible Answers:

$\small \frac{9}{14}$

$\small \frac{4}{33}$

$\small \frac{12}{11}$

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

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

Correct answer:

$\small \frac{4}{33}$

Explanation:

$\small \frac{4}{11}\div\frac{3}{1}$

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.

$\small \small \frac{4}{11}\times\frac{1}{3}=\frac{4}{33}$

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

$\small \frac{12}{13}\div\frac{2}{1}$

Possible Answers:

$\small \frac{9}{28}$

$\small \frac{12}{26}$

$\small \frac{10}{22}$

$\small \frac{14}{32}$

$\small \frac{7}{21}$

Correct answer:

$\small \frac{12}{26}$

Explanation:

$\small \frac{12}{13}\div\frac{2}{1}$

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.

$\small \frac{12}{13}\times\frac{1}{2}=\frac{12}{26}$

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Example Question #1174 : Ssat Middle Level Quantitative (Math)

$\small \frac{2}{7}\div3$

Possible Answers:

$\small \frac{1}{9}$

$\small \frac{2}{21}$

$\small \frac{6}{7}$

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

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

Correct answer:

$\small \frac{2}{21}$

Explanation:

$\small \frac{2}{7}\div3$

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.

$\small \small \frac{2}{7}\times\frac{1}{3}=\frac{2}{21}$

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Example Question #31 : Fractions

$\small \frac{3}{4}\div6$

Possible Answers:

$\small \frac{3}{5}$

$\small \frac{2}{9}$

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

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

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

Correct answer:

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

Explanation:

$\small \frac{3}{4}\div6$

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.

$\small \frac{3}{4}\times\frac{1}{6}=\frac{3}{24}$

$\small \frac{3}{24}$ can be reduced by dividing both sides by $\small 3.$

$\small \frac{3}{24}\div \frac{3}{3}=\frac{1}{8}$

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Example Question #32 : Fractions

$\small \frac{1}{7}\div3$

Possible Answers:

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

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

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

$\small \frac{7}{13}$

$\small \frac{1}{21}$

Correct answer:

$\small \frac{1}{21}$

Explanation:

$\small \frac{1}{7}\div3$

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.

$\small \frac{1}{7}\times\frac{1}{3}=\frac{1}{21}$

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Example Question #33 : Fractions

$\small \small \frac{5}{9}\div4$

Possible Answers:

$\small \frac{6}{36}$

$\small \frac{9}{27}$

$\small \frac{7}{9}$

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

$\small \frac{5}{36}$

Correct answer:

$\small \frac{5}{36}$

Explanation:

$\small \small \frac{5}{9}\div4$

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.

$\small \frac{5}{9}\times\frac{1}{4}=\frac{5}{36}$

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Example Question #34 : Fractions

$\small \frac{1}{8}\div2$

Possible Answers:

$\small \frac{3}{14}$

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

$\small \frac{3}{16}$

$\small \frac{7}{17}$

$\small \frac{1}{16}$

Correct answer:

$\small \frac{1}{16}$

Explanation:

$\small \frac{1}{8}\div2$

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.

$\small \frac{1}{8}\times\frac{1}{2}=\frac{1}{16}$

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Example Question #41 : Fractions

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

Possible Answers:

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

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

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

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

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

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 #42 : Fractions

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

Possible Answers:

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

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

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

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

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

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

Example Question #6 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

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

Example Question #1174 : Ssat Middle Level Quantitative (Math)

Example Question #31 : Fractions

Example Question #32 : Fractions

Example Question #33 : Fractions

Example Question #34 : Fractions

Example Question #41 : Fractions

Example Question #42 : Fractions

All Common Core: 5th Grade Math Resources

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