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SSAT Upper Level Math : Complex Fractions

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Example Questions

Example Question #10 : How To Divide Complex Fractions

$\frac{\frac{3}{4}}{\frac{9}{10}}=?$

Possible Answers:

$\frac{6}{5}$

$\frac{13}{11}$

$\frac{5}{6}$

$\frac{30}{13}$

Correct answer:

$\frac{5}{6}$

Explanation:

The main line in a fraction means "divide." Rewrite the complex fraction as thus:

$\frac{\frac{3}{4}}{\frac{9}{10}}=\frac{3}{4}\div\frac{9}{10}$

Now, divide these fractions.

$\frac{3}{4}\div\frac{9}{10}=\frac{3}{4}\times\frac{10}{9}=\frac{30}{36}=\frac{5}{6}$

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Example Question #51 : Complex Fractions

$\frac{\frac{3}{5}}{\frac{1}{4}}=?$

Possible Answers:

$\frac{3}{5}$

$\frac{5}{12}$

$\frac{8}{7}$

$\frac{12}{5}$

Correct answer:

$\frac{12}{5}$

Explanation:

The main line in a fraction means "divide." Rewrite the complex fraction like this:

$\frac{\frac{3}{5}}{\frac{1}{4}}=\frac{3}{5}\div\frac{1}{4}$

Now, divide these two fractions.

$\frac{3}{5}\div\frac{1}{4}=\frac{3}{5}\times\frac{4}{1}=\frac{12}{5}$

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Example Question #52 : Complex Fractions

$\frac{\frac{10}{3}}{\frac{5}{3}}=?$

Possible Answers:

$\frac{2}{5}$

$\frac{7}{2}$

$\frac{5}{3}$

Correct answer:

Explanation:

The main fraction line means "divide." Rewrite the complex fraction like this:

$\frac{\frac{10}{3}}{\frac{5}{3}}=\frac{10}{3}\div\frac{5}{3}$

$\frac{10}{3}\div\frac{5}{3}=\frac{10}{3}\times\frac{3}{5}=\frac{30}{15}=2$

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Example Question #53 : Complex Fractions

Simplify: $\frac{\frac{1}{2}}{2}+\frac{2}{\frac{1}{2}}$

Possible Answers:

$\frac{5}{4}$

$\frac{17}{4}$

Correct answer:

$\frac{17}{4}$

Explanation:

Rewrite the expression using a division sign.

$\frac{\frac{1}{2}}{2}+\frac{2}{\frac{1}{2}}=\frac{1}{2}\div2+2 \div \frac{1}{2}$

Take the reciprocal of the term after the division signs and convert the division sign to a multiplication sign.

$\frac{1}{2}\times\frac{1}{2}+2 \times2=\frac{1}{4}+4=4\frac{1}{4}=\frac{17}{4}$

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SSAT Upper Level Math : Complex Fractions

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #10 : How To Divide Complex Fractions

Example Question #51 : Complex Fractions

Example Question #52 : Complex Fractions

Example Question #53 : Complex Fractions

All SSAT Upper Level Math Resources

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