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SSAT Upper Level Math : How to divide fractions

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

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #1 : How To Divide Fractions

$\frac{5}{6}\div \frac{1}{12}=?$

Possible Answers:

$\frac{5}{72}$

$\frac{1}{2}$

Correct answer:

Explanation:

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{5}{6}\div \frac{1}{12}=\frac{5}{6}\times\frac{12}{1}=\frac{60}{6}=10$

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Example Question #2 : How To Divide Fractions

$\frac{4}{5}\div\frac{7}{8}=?$

Possible Answers:

$\frac{35}{32}$

$\frac{7}{20}$

$\frac{14}{27}$

$\frac{32}{35}$

Correct answer:

$\frac{32}{35}$

Explanation:

$\frac{4}{5}\div\frac{7}{8}=\frac{4}{5}\times\frac{8}{7}=\frac{32}{35}$

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Example Question #13 : Operations With Fractions

$\frac{7}{9}\div\frac{2}{3}=?$

Possible Answers:

$\frac{7}{6}$

$\frac{15}{27}$

$\frac{6}{7}$

$\frac{14}{27}$

Correct answer:

$\frac{7}{6}$

Explanation:

$\frac{7}{9}\div\frac{2}{3}=\frac{7}{9}\times\frac{3}{2}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{7}{9}\times\frac{3}{2}=\frac{7}{3}\times\frac{1}{2}=\frac{7}{6}$

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Example Question #4 : How To Divide Fractions

$\frac{5}{7}\div\frac{1}{14}=?$

Possible Answers:

$\frac{1}{10}$

$\frac{7}{60}$

$\frac{5}{98}$

Correct answer:

Explanation:

$\frac{5}{7}\div\frac{1}{14}=\frac{5}{7}\times\frac{14}{1}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{5}{7}\times\frac{14}{1}=\frac{5}{1}\times\frac{2}{1}=\frac{10}{1}=10$

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Example Question #3 : How To Divide Fractions

$\frac{12}{7}\div\frac{3}{4}=?$

Possible Answers:

$\frac{9}{7}$

$\frac{18}{7}$

$\frac{7}{16}$

$\frac{16}{7}$

Correct answer:

$\frac{16}{7}$

Explanation:

$\frac{12}{7}\div\frac{3}{4}=\frac{12}{7}\times\frac{4}{3}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{12}{7}\times\frac{4}{3}=\frac{4}{7}\times\frac{4}{1}=\frac{16}{7}$

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Example Question #5 : How To Divide Fractions

$\frac{9}{10}\div\frac{4}{5}=?$

Possible Answers:

$\frac{8}{9}$

$\frac{13}{15}$

$\frac{9}{8}$

$\frac{18}{25}$

Correct answer:

$\frac{9}{8}$

Explanation:

$\frac{9}{10}\div\frac{4}{5}=\frac{9}{10}\times\frac{5}{4}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{9}{10}\times\frac{5}{4}=\frac{9}{2}\times\frac{1}{4}=\frac{9}{8}$

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Example Question #6 : How To Divide Fractions

$\frac{11}{12}\div\frac{4}{9}=?$

Possible Answers:

$\frac{5}{6}$

$\frac{44}{108}$

$\frac{33}{16}$

$\frac{48}{99}$

Correct answer:

$\frac{33}{16}$

Explanation:

$\frac{11}{12}\div\frac{4}{9}=\frac{11}{12}\times\frac{9}{4}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{11}{12}\times\frac{9}{4}==\frac{11}{4}\times\frac{3}{4}=\frac{33}{16}$

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Example Question #7 : How To Divide Fractions

$\frac{1}{12}\div\frac{5}{6}=?$

Possible Answers:

$\frac{1}{3}$

$\frac{1}{10}$

$\frac{5}{72}$

Correct answer:

$\frac{1}{10}$

Explanation:

$\frac{1}{12}\div\frac{5}{6}=\frac{1}{12}\times\frac{6}{5}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{1}{12}\times\frac{6}{5}=\frac{1}{2}\times\frac{1}{5}=\frac{1}{10}$

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Example Question #3 : How To Divide Fractions

$\frac{5}{7}\div\frac{1}{12}=?$

Possible Answers:

$\frac{5}{84}$

$\frac{60}{7}$

$\frac{6}{19}$

$\frac{7}{60}$

Correct answer:

$\frac{60}{7}$

Explanation:

$\frac{5}{7}\div\frac{1}{12}==\frac{5}{7}\times\frac{12}{1}=\frac{60}{7}$

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Example Question #9 : How To Divide Fractions

$\frac{6}{7}\div\frac{10}{3}=?$

Possible Answers:

$\frac{60}{21}$

$\frac{16}{21}$

$\frac{9}{35}$

$\frac{8}{5}$

Correct answer:

$\frac{9}{35}$

Explanation:

$\frac{6}{7}\div\frac{10}{3}=\frac{6}{7}\times\frac{3}{10}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{6}{7}\times\frac{3}{10}=\frac{3}{7}\times\frac{3}{5}=\frac{9}{35}$

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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : How to divide fractions

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : How To Divide Fractions

Example Question #2 : How To Divide Fractions

Example Question #13 : Operations With Fractions

Example Question #4 : How To Divide Fractions

Example Question #3 : How To Divide Fractions

Example Question #5 : How To Divide Fractions

Example Question #6 : How To Divide Fractions

Example Question #7 : How To Divide Fractions

Example Question #3 : How To Divide Fractions

Example Question #9 : How To Divide Fractions

All SSAT Upper Level Math Resources

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