数学テスト

Complex fractions

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Complex fractions

In general, a complex fraction is normally formed of two fractions, one on top of the other (the numerator, denominator, or both contain a fraction). It is actually a ratio of two fractions.

To convert this to a simple fraction, rewrite as division:

$${\;4/5\;}/{\;2/3\;}={4/5}÷{2/3}={4/5}×{3/2}=12/10$$

You can also just multiply the top numerator by the bottom denominator and the top denominator by the bottom numerator:

$${\;4/5\;}/{\;2/3\;}={4×3}/{5×2}=12/10$$

If only the numerator or the denominator contains a fraction, rewrite the other one as a fraction, and then divide or multiply:

$${\;1/8\;}/3={\;1/8\;}/{\;3/1\;}={1×1}/{8×3}=1/24$$

$${\;7\;}/{4/5}={{\;7/1\;}/{\;4/5\;}={7×5}/{1×4}=35/4$$

   
   

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