SAT Math : How to divide complex fractions

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : How To Divide Complex Fractions

Simplify:  \(\displaystyle \frac{\frac{1}{2}}{\frac{3}{4}}\)

Possible Answers:

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{1}{24}\)

\(\displaystyle \frac{3}{2}\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle \frac{2}{3}\)

Explanation:

Rewrite this complex fraction using a division sign.  

\(\displaystyle \frac{1}{2}\div\frac{3}{4}\)

Take the reciprocal of the second term and change the division of the division sign.  Simplify.

\(\displaystyle \frac{1}{2}\times\frac{4}{3}=\frac{2}{3}\)

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