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SSAT Middle Level Math : How to divide fractions

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Example Questions

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{2}{9}\div\frac{1}{2}$ $\displaystyle \small \frac{2}{9}\div\frac{1}{2}$

Possible Answers:

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

$\small \frac{18}{2}$ $\displaystyle \small \frac{18}{2}$

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

$\small \frac{2}{18}$ $\displaystyle \small \frac{2}{18}$

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

Correct answer:

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

Explanation:

$\small \frac{2}{9}\div\frac{1}{2}$ $\displaystyle \small \frac{2}{9}\div\frac{1}{2}$

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.

$\small \frac{2}{9}\times\frac{2}{1}=\frac{4}{9}$ $\displaystyle \small \frac{2}{9}\times\frac{2}{1}=\frac{4}{9}$

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Example Question #4 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{3}{4}\div\frac{1}{5}$ $\displaystyle \small \frac{3}{4}\div\frac{1}{5}$

Possible Answers:

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

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

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

$\small \frac{20}{3}$ $\displaystyle \small \frac{20}{3}$

$\small \frac{3}{20}$ $\displaystyle \small \frac{3}{20}$

Correct answer:

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

Explanation:

$\small \frac{3}{4}\div\frac{1}{5}$ $\displaystyle \small \frac{3}{4}\div\frac{1}{5}$

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.

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

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Example Question #31 : How To Divide Fractions

$\small \frac{3}{14}\div\frac{1}{3}$ $\displaystyle \small \frac{3}{14}\div\frac{1}{3}$

Possible Answers:

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

$\small \frac{42}{3}$ $\displaystyle \small \frac{42}{3}$

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

$\small \frac{3}{42}$ $\displaystyle \small \frac{3}{42}$

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

Correct answer:

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

Explanation:

$\small \frac{3}{14}\div\frac{1}{3}$ $\displaystyle \small \frac{3}{14}\div\frac{1}{3}$

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.

$\small \frac{3}{14}\times\frac{3}{1}=\frac{9}{14}$ $\displaystyle \small \frac{3}{14}\times\frac{3}{1}=\frac{9}{14}$

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Example Question #531 : Number & Operations With Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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.

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

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

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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.

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

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Example Question #532 : Number & Operations With Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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.

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

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Example Question #1381 : Common Core Math: Grade 5

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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.

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

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

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

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Example Question #533 : Number & Operations With Fractions

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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.

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

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Example Question #1383 : Common Core Math: Grade 5

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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.

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

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Example Question #1384 : Common Core Math: Grade 5

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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.

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

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SSAT Middle Level Math : How to divide fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #4 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #31 : How To Divide Fractions

Example Question #531 : Number & Operations With Fractions

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

Example Question #532 : Number & Operations With Fractions

Example Question #1381 : Common Core Math: Grade 5

Example Question #533 : Number & Operations With Fractions

Example Question #1383 : Common Core Math: Grade 5

Example Question #1384 : Common Core Math: Grade 5

All SSAT Middle Level Math Resources

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